Publications of Prof. Dr. Yuri Luchko
Books and books chapters
Fractional Integrals and Derivatives:“True” versus “False”, MDPI, Basel, 2021, ISBN 9783036504940
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Transmutations of the Composed ErdélyiKober Fractional Operators and Their Applications. Chapter in: V. Kravchenko, S.M. Sitnik (Eds.),
Transmutation Operators and Applications, Birkhäuser Verlag, Basel, 2020,
pp. 479508 (with M. AlKandari and L. AM. Hanna) Download
Mathematische Modellierung mit MATLAB® und Octave. Eine praxisorientierte Einführung, Springer Spektrum, Heidelberg, 2019,
ISBN 9783662597446 (mit F. Haußer)
Bestellung
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
ISBN 9783110570816
(with A. Kochubei) Bestellung
Handbook of Fractional Calculus with Applications. Vol.2: Fractional Differential Equations, Walter de Gruyter, Berlin/Boston, 2019,
ISBN 9783110570823
(with A. Kochubei) Bestellung
Basic FC operators and their properties. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
pp. 23–46 (with A. Kochubei) Download
Multiple Erdélyi–Kober integrals and derivatives as operators of generalized fractional calculus. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
pp. 127–158 (with V. Kiryakova) Download
Applications of the Mellin integral transform technique in fractional calculus. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
pp. 195–224 (with V. Kiryakova) Download
Fractional Fourier transform. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
pp. 225–240 Download
The Wright function and its applications. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.1: Basic Theory, Walter de Gruyter, Berlin/Boston, 2019,
pp. 241–268 Download
Operational method for fractional ordinary differential equations. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.2: Fractional Differential Equations, Walter de Gruyter,
Berlin/Boston, 2019,
pp. 91–118 Download
Maximum principle for the timefractional PDEs. Chapter in: Anatoly Kochubei, Yuri Luchko (Eds.),
Handbook of Fractional Calculus with Applications. Vol.2: Fractional Differential Equations, Walter de Gruyter,
Berlin/Boston, 2019,
pp. 299–326 (with M. Yamamoto) Download
Fractional diffusionwave phenomena. Chapter in: Vasily E. Tarasov (Ed.),
Handbook of Fractional Calculus with Applications. Vol.5: Applications in Physics, Part B, Walter de Gruyter,
Berlin/Boston, 2019,
pp. 71–98 (with F. Mainardi) Download
A Survey on the Recent Results Regarding Maximum Principles for the TimeFractional Diffusion Equations.
Chapter in: Bhalekar, Sachin (Ed.),
Frontiers in Fractional Calculus, Bentham Science Publishers, Sharjah, United Arab Emirates, 2018, ISBN 9781681086002,
pp. 3369 (with M. Yamamoto)
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Fractional Diffusion and Wave Propagation.
Chapter in: Freeden, Willi, Nashed, M. Zuhair, Sonar, Thomas (Eds.),
Handbook of Geomathematics, Springer, Berlin, 2015, ISBN 9783642545504, 15071545
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Fractional Diffusion and Wave Propagation.
Chapter in:
SpringerReference Handbook of Geomathematics, Springer, Berlin, 2014.
Anomalous Diffusion: Models, Their Analysis, and Interpretation. Chapter in: Advances in Applied Analysis, Series: Trends in Mathematics,
ISBN 9783034804165,
Birkhäuser, Basel, 2012, pp. 115146.
Mathematische Modellierung mit MATLAB. Eine praxisorientierte Einführung,
ISBN 9783827423986,
Spektrum Akademischer Verlag, Heidelberg, 2010 (mit F. Haußer)
Bestellung
Fractionalorder viscoelasticity (FOV):
Constitutive development using the fractional calculus:
First annual report, NASA/TM 2002211914,
NASA's Glenn Research Center, Brook Rark, Ohio, December 2002
(with A.Freed and K.Diethelm)
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The Hypergeometric Approach to Integral Transforms and Convolutions.
Series: Mathematics and its applications, Vol. 287, ISBN 9780792328568, Kluwer Acad. Publ.,
Dordrecht/ Boston/London, 1994 (with S.Yakubovich)
Bestellung
New families of Leibniz type rules for fractional calculus and their integral analogues.
Chapter in: Recent Advances in Fractional Calculus. ISBN 9780963815507, Sauk Rapids,
Minnesota: Global Publ. Comp. 1993, pp. 248291
(with H.M.Srivastava and S.Yakubovich).
Theory of the integral transformations with the Fox Hfunction as a kernel and
some of its applications including operational calculus.
PhD. thesis, Byelorussian State University, Minsk, 1993.
Papers in journals
The 1st Level General Fractional Derivatives and some of their Properties. arXiv:2206.02154 [math.CA], 2022
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Operational Calculus for the General Fractional Derivatives of Arbitrary Order. Mathematics
2022, 10(9), 1590 (with M. AlKandari and L. A.M. Hanna)
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Fractional Differential Equations with the General Fractional Derivatives of
Arbitrary Order in the RiemannLiouville Sense. Mathematics
2022, 10(6), 849
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Comparison principles for solutions to the fractional differential inequalities with
the general fractional derivatives and their applications.
Journal of Differential Equations 319 (2022), 312324 (with M. AlRefai)
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Convolution series and the generalized convolution Taylor formula.
Fract. Calc. Appl. Anal. 25 (2022), 207–228
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Trends, directions for further research, and some open problems of fractional calculus.
Nonlinear Dynamics 107 (2022), 32453270 (with K. Diethelm, V. Kiryakova, J.A.T. Machado, and V.E. Tarasov)
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On the maximum principle for the multiterm fractional transport equation.
Journal of Mathematical Analysis and Applications 505 (2022), 125579 (with A. Suzuki and M. Yamamoto)
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Two Forms of an Inverse Operator to the Generalized Bessel Potential. Axioms 2021, 10(3), 232
(with A. Dzhabrailov and E. Shishkina)
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Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications. Mathematics
2021, 9(17), 2132
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General Fractional Integrals and Derivatives of Arbitrary Order.
Symmetry 2021, 13(5), 755
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Operational calculus for the general fractional derivative and its applications.
Fract. Calc. Appl. Anal. 24 (2021), 338375
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General Fractional Integrals and Derivatives with the Sonine Kernels. Mathematics
2021, 9(6), 594
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Special Functions as Solutions to the Euler–Poisson–Darboux Equation with a Fractional Power of the Bessel Operator. Mathematics
2021, 9(13), 1484 (with A. Dzarakhohov and E. Shishkina)
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Multidimensional scaling and visualization of patterns in distribution of nontrivial zeros of the zetafunction.
Communications in Nonlinear Science and Numerical Simulation 102 (2021), 105924 (with J. Tenreiro Machado)
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Eigenfunctions of the time‐fractional diffusion‐wave operator. Mathematical Methods in the Applied Sciences 44
(2021), 17131743 (with M. Ferreira, M.M. Rodrigues, and N. Vieira)
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On an extension of the Mikusiński type operational calculus for the Caputo fractional derivative.
Integral Transforms and Special Functions 32 (2021), 710725 (with M. AlKandari and L. A.M. Hanna)
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In memory of the honorary founding editors behind the FCAA success story. Fract. Calc. Appl. Anal. 24 (2021), 641666
(with V. Kiryakova and J.A. Tenreiro Machado)
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The General Fractional Derivative and Related Fractional Differential Equations. Mathematics
2020, 8(12), 2115 (with M. Yamamoto)
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Fractional derivatives and the fundamental theorem of Fractional Calculus. Fract. Calc. Appl. Anal. 23 (2020), 939966
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On complete monotonicity of solution to the fractional relaxation equation with the nth level fractional derivative. Mathematics
2020, 8(9), 1561
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The Multiple Composed ErdélyiKober Fractional Integrals and Derivatives and Their Convolutions.
Progress in Fractional Differentiation and Applications 6 (2020), 153167 (with M. AlKandari and L. AM. Hanna)
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The FourParameters Wright Function of the Second kind and its Applications in FC. Mathematics 2020, 8(6), 970
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Operational method for solving fractional differential equations with the leftand righthand sided ErdélyiKober fractional derivatives.
Fract. Calc. Appl. Anal. 23 (2020), 103125 (with L. AM. Hanna and M. AlKandari)
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Some Notes on the Wright Functions in Probability Theory. WSEAS Transactions on Mathematics 18 (2019), 389393
(with A. Consiglio and F. Mainardi)
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Subordination principles for the multidimensional spacetimefractional diffusionwave equation.
Theor. Probability and Math. Statist. 98 (2019), 127147
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Entropy Production Rates of the MultiDimensional Fractional Diffusion Processes. Entropy 2019,
21(10), 973 Download
Applications of the Fractional Diffusion Equation to Option Pricing and Risk Calculations. Mathematics 2019,
7(9), 796 (with J.Ph. Aguilar and J. Korbel) Download
A convolution family in the Dimovski sense for the composed ErdélyiKober fractional integrals.
Integral Transforms and Special Functions 30 (2019), 400417 (with M. AlKandari and L. A.M. Hanna)
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Some Schemata for Applications of the Integral Transforms of Mathematical Physics. Mathematics 2019, 7(3), 254
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Desiderata for Fractional Derivatives and Integrals. Mathematics 2019, 7(2), 149
(with R. Hilfer)
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Subordination principles for the multidimensional spacetimefractional diffusionwave equation.
Teoriya Imovirnostei ta Matematychna Statystyka 98 (2018), 121141
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The neutralfractional telegraph equation. Math. Model. Nat. Phenom. 12 (2017), 5167 (with L. Boyadjiev)
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On Some New Properties of the Fundamental Solution to the MultiDimensional Space and
TimeFractional DiffusionWave Equation. Mathematics 2017, 5, 76.
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On the maximum principle for a timefractional diffusion equation.
Fract. Calc. Appl. Anal. 20 (2017), 11311145 (with M. Yamamoto)
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FCAA special issue (FCAA–volume 20–5–2017).
Fract. Calc. Appl. Anal. 20 (2017), 10531067 (with I. Podlubny)
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Mellin integral transform approach to analyze the multidimensional diffusionwave equations.
Chaos, Solitons & Fractals, 102 (2017), 127134
(with L. Boyadjiev) Download
Multidimensional αfractional diffusion–wave equation and some properties of its fundamental solution.
Computers & Mathematics with Applications
73 (2017), 2561–2572 (with L. Boyadjiev) Download
On the maximum principle for a timefractional diffusion equation.
arXiv:1702.07591, Analysis of PDEs (math.AP) 2017 (with M. Yamamoto)
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Analyticity of solutions to a distributed order timefractional diffusion equation
and its application to an inverse problem. Computers & Mathematics with Applications
73 (2017), 1041–1052 (with Z. Li and M. Yamamoto)
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Some new properties and applications of a fractional Fourier transform.
Journal of Inequalities and Special Functions
8 (2017), 1327 (with M. Manuela Rodrigues)
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Modeling of financial processes with a spacetime fractional diffusion equation of varying order.
Fract. Calc. Appl. Anal. 19 (2016), 14141433 (with J. Korbel)
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General timefractional diffusion equation: Some uniqueness and existence results for
the initialboundaryvalue problems. Fract. Calc. Appl. Anal. 19 (2016), 676695
(with M. Yamamoto)
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A new fractional calculus model for the twodimensional anomalous diffusion and its analysis.
Math. Model. Nat. Phenom. 11 (2016), 117
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Entropy Production Rate of a OneDimensional AlphaFractional Diffusion Process.
Axioms 5 (2016)
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Analysis of fractional diffusion equations of distributed order:
Maximum principles and their applications.
Analysis 36 (2016), 123133 (with M. AlRefai)
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Timefractional diffusion equation in the fractional Sobolev
spaces. Fract. Calc. Appl. Anal. 18 (2015), 799–820
(with R. Gorenflo and M. Yamamoto)
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Wave–diffusion dualism of the neutralfractional processes.
Journal of Computational Physics 293 (2015), 40–52
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Maximum principle for the multiterm timefractional diffusion equations
with the Riemann–Liouville fractional derivatives.
Applied Mathematics and Computation 257(2015), 4051 (with M. AlRefai)
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Operator theoretic approach to the Caputo derivative and the fractional diffusion equations.
arXiv:1411.7289, Analysis of PDEs (math.AP) 2014 (with R. Gorenflo and M. Yamamoto)
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Multidimensional fractional wave equation and some properties of its fundamental solution.
Communications in Applied and Industrial Mathematics 6(2014), e485
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Eprint
Asymptotic estimates of solutions to initialboundaryvalue problems for distributed order
timefractional diffusion equations.
Fract. Calc. Appl. Anal. 17(2014), 11141136 (with Z. Li and
M. Yamamoto)
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$\theta$function method for a timefractional reactiondiffusion equation.
Journal of Algerian Mathematical Society 1(2014), 115 (with L. Zuo)
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Cauchy and signaling problems for the timefractional diffusionwave equation.
Journal of Vibration and Acoustics 136(2014), 050904 (with F. Mainardi)
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Maximum principle for the fractional diffusion equations with the RiemannLiouville
fractional derivative and its applications.
Fract. Calc. Appl. Anal. 17(2014), 483498 (with M. AlRefai)
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Operational calculus for the Caputotype fractional Erdélyi–Kober derivative and its applications.
Integral Transforms and Special Functions 25(2014), 359373
(with L.AM. Hanna) Download
Comments on employing the RieszFeller derivative in the Schrödinger equation.
The European Physical Journal Special Topics 222(2013), 17791794
(with B. AlSaqabi and L. Boyadjiev) Download
Some properties of the fundamental solution to the signalling problem for the fractional diffusionwave equation.
Central European Journal of Physics 11(2013), 666–675
(with F. Mainardi) Download
Propagation speed of the maximum of the fundamental solution to the fractional diffusion–wave equation.
Computers and Mathematics with Applications 66(2013), 774–784
(with F. Mainardi and Yu. Povstenko) Download,
Eprint
Uniqueness and reconstruction of an unknown semilinear term in a timefractional reaction–diffusion equation.
Inverse Problems 29(2013) 065019 (16pp)
(with W. Rundell, M. Yamamoto and L. Zuo) Download
RiemannLiouville and Caputo type multiple ErdélyiKober operators.
Central European Journal of Physics 11(2013), 13141336
(with V. Kiryakova) Download
Fractional wave equation and damped waves.
J. Math. Phys. 54(2013) 031505
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Eprint
Fractional Schrödinger equation for a particle moving in a potential well.
J. Math. Phys. 54(2013) 012111
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The Mellin integral transform in fractional calculus.
Fract. Calc. Appl. Anal. 16(2013), 405430 (with V. Kiryakova)
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Fundamental solution of a distributed order timefractional diffusionwave equation as probability density.
Fract. Calc. Appl. Anal. 16(2013), 297316 (with R. Gorenflo and M. Stojanovic)
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Verwendung schneller WaveletTransformation zum Detektieren von signifikanten Abweichungen im Rahmen eines Frühwarnsystems.
Forum GeoBau 4(2013), 149158 (with B. Resnik).
Fundamental solution of the fractional wave equation, its properties, and interpretation.
Forum der Berliner mathematischen Gesellschaft 23(2012), 6589.
Pattern formation in fractional reactiondiffusion systems with multiple homogeneous states.
International Journal of Bifurcation and Chaos 22(2012), 1250087 (with B. Datsko and V. Gafiychuk)
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Complex oscillations and limit cycles in autonomous twocomponent incommensurate fractional dynamical systems.
Mathematica Balkanica 26(2012), 6578 (with B. Datsko) Download
Initialboundaryvalue problems for the onedimensional timefractional diffusion equation.
Fract. Calc. Appl. Anal. 15(2012), 141160 Download,
Eprint
Modeling anomalous heat transport in geothermal reservoirs via fractional diffusion equations.
International Journal on Geomathematics 1(2011), 257276 (with A. Punzi)
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Initialboundaryvalue problems for the generalized multiterm timefractional diffusion equation.
Journal of Mathematical Analysis and Applications 374(2011), 538548
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Modellierung anomaler Diffusionsprozesse mit fraktionalen Differentialgleichungen und ihre Analyse. In: Forschungsbericht
2011 der Beuth Hochschule für Technik Berlin. Wissenschaftlicher Verlag Berlin, 2011, 6972.
Maximum principle and its application for the timefractional diffusion equations. Fract. Calc. Appl. Anal. 14(2011), 110124
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Anomalous diffusion models and their analysis.
Forum der Berliner mathematischen Gesellschaft 19(2011), 5385.
Professor Rudolf Gorenflo and his contribution to fractional calculus. Fract. Calc. Appl. Anal. 14 (2011), 318 (with F. Mainardi and S. Rogosin)
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Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials. Computers and Mathematics with Applications
62(2011), 918929 (with S. Esmaeilia and M. Shamsia) Download
Modellierung anomaler Diffusionsprozesse mit fraktionalen Differentialgleichungen und ihre Analyse.
Forum der Berliner mathematischen Gesellschaft 15(2010), 69104.
Fractional Fourier transform in the framework of fractional calculus
operators. Integral Transforms and Special Functions 21(2010), 779–795 (with A.A. Kilbas, H. Martínez and J.J. Trujillo).
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Spectral method for solution of the fractional transport equation. Reports on Mathematical Physics
66(2010), 103115 (with A. Kadem and D. Baleanu).
Some uniqueness and existence results for the
initialboundaryvalue problems for the generalized timefractional diffusion equation.
Computers and Mathematics with Applications 59(2010), 17661772.
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Fractional models, nonlocality, and complex systems.
Computers and Mathematics with Applications
59(2010), 10481056 (with Margarita Rivero, Juan J. Trujillo, and M. Pilar Velasco).
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The Wright function and its numerical evaluation.
International J. of Pure and Applied Mathematics 64(2010), 567575 (with J.J. Trujillo and M.P. Velasco)
Maximum principle and some uniqueness results for the generalized timefractional diffusion equation. In: Forschungsbericht
2008/2009 der Beuth Hochschule für Technik Berlin. Beuth Hochschule für Technik Berlin, Berlin, 2009, 2224.
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Boundary value problems for the generalized timefractional
diffusion equation of distributed order.
Fract. Calc. Appl. Anal. 12(2009), 409422. Download
Operational method for the solution of fractional
differential equations with generalized RiemannLiouville
fractional derivatives. Fract. Calc. Appl. Anal. 12(2009), 299318
(with R. Hilfer and Z. Tomovski). Download
Maximum principle for the generalized timefractional diffusion equation.
Journal of Mathematical Analysis and Applications 351(2009), 218223
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Fractional Fourier transform and some of its applications.
Fract. Calc. Appl. Anal. 11(2008), 457470
(with Hector Matrinez and Juan J. Trujillo).
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Integral transforms of the Mellin convolution type and their generating operators. Integral
Transforms and Special Functions 19(2008), 809 851.
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Algorithms for evaluation of the Wright
function for the real arguments' values.
Fract. Calc. Appl. Anal. 11(2008), 5775.
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Caputotype modification of the ErdelyiKober fractional derivative.
Fract. Calc. Appl. Anal. 10(2007), 249267 (with J.J.Trujillo).
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Algorithms for the fractional calculus:
A selection of numerical methods. Computer Methods in Applied Mechanics
and Engineering 194(2005), 743773 (with K.Diethelm, N.Ford and A.Freed).
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Operational rules for a mixed operator of the ErdelyiKober type.
Fract. Calc. Appl. Anal. 7(2004), 339364.
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Numerical solution of linear multiterm differential equations of fractional order.
Journal of Computational Analysis and Applications 6(2004),
243263 (with K.Diethelm).
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Computation of the MittagLeffler function
and its derivatives. Fract. Calc. Appl. Anal. 5(2002),
491518 (with R.Gorenflo and J.Loutchko).
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The fundamental solution of the spacetime fractional diffusion equation.
Fract. Calc. Appl. Anal. 4 (2001), 153192
(with F.Mainardi and G.Pagnini).
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On the distribution of zeros of the Wright function.
Integral Transforms and Special Functions 11(2001), 195200.
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On some boundary value problems for pseudodifferential
equations with boundary operators of fractional order.
Fract. Calc. Appl. Anal. 3(2000),
453468 (with R.Gorenflo and S.Umarov).
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On the Cauchy and multupoint problems for partial
pseudodifferential equations of fractional order.
Fract. Calc. Appl. Anal. 3(2000),
249277
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(with R.Gorenflo and S.Umarov).
Generalized Hankel transforms for hyperBessel differential operators.
Comptes Rendus de l'Académie Bulgare des Sciences 53(2000),
1720 (with V.Kiryakova).
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Wright functions as scaleinvariant solutions of the diffusionwave equation.
Journal of Computational and Applied Mathematics 11(2000), 175191
(with R.Gorenflo and F.Mainardi).
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On the asymptotics of zeros of the Wright function.
Zeitschrift für Analysis und ihre Anwendungen 19(2000), 597622.
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Mapping between solutions of fractional diffusionwave equations.
Fract. Calc. Appl. Anal. 3(2000), 7586
(with R.Gorenflo and A.Iskenderov).
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Operational method in fractional calculus.
Fract. Calc. Appl. Anal. 2(1999), 463489.
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Analytical properties and applications of the Wright function.
Fract. Calc. Appl. Anal. 2(1999),
383415 (with R.Gorenflo and F.Mainardi).
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An operational method for solving fractional differential equations
with the Caputo derivatives. Acta Mathematica Vietnamica 24(1999),
207233 (with R Gorenflo).
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On solvability of linear fractional differential equations in Banach spaces.
Fract. Calc. Appl. Anal. 2(1999), 163177
(with R.Gorenflo and P.P.Zabrejko).
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Invariance of a partial differential equation of fractional order under
the Lie group of scaling transformations.
Journal of Mathematical Analysis and Applications 227(1998), 8197 (with E.Buckwar).
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Scaleinvariant solutions of a partial differential equation of fractional order.
Fract. Calc. Appl. Anal. 1(1998), 6378 (with R.Gorenflo).
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Operational method for solving integral equations with Gauss's hypergeometric
function as a kernel. International Journal of Mathematical and Statistical
Sciences 6(1997), 179200 (with R.Gorenflo and H.M.Srivastava).
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Operational method for solving generalized Abel integral equations
of second kind. Integral Transforms and Special Functions 5(1997),
4758 (with R.Gorenflo).
An operational method for solving fractional differential equations
of an arbitrary real order. Panamerican Mathematical Journal 6(1996),
5773 (with S.B.Hadid).
On generalized fractional calculus and its application to the
solution of integrodifferential equations.
Journal of Fractional Calculus 7(1995), 6988 (with M.A.AlBassam).
The exact solution of certain differential equations of fractional
order by using operational calculus.
Computers and Mathematics with Applications 29(1995), 7385 (with H.M.Srivastava).
Operational properties of the convolution for the KontorovichLebedev integral
transform. Doklady Akademii Nauk Belarusi 38(1994), 1923 (with S.Yakubovich).
Operational method of solution of some classes of integrodifferential equations.
Differentsial'nye Uravneniya 30(1994), 269280 (in Russian);
English translation in Differential Equations 30(1994),
247256 (with S.Yakubovich).
The new Leibniz rules and their integral analogues.
International Journal of Mathematical and Statistical Sciences 2(1993),
187225 (with S.L.Kalla and S.Yakubovich).
The convolutional method for the development of new Leibniz rules
involving fractional derivatives and of their integral analogues.
Integral Transforms and Special Functions 1(1993),
119134 (with H.M.Srivastava and S.Yakubovich).
Operational calculus for the generalized fractional differential
operator and applications. Mathematica Balkanica 7(1993),
119130 (with S.Yakubovich).
Generalizations of the Leibniz rule to integral convolutions.
Doklady Akademii Nauk BSSR 35(1991), 111115 (with S.Yakubovich).
Generalizations of the integral analog of the Leibniz
rule on the Gconvolutions. Extracta Mathematicae 6(1991),
119122 (with S.Yakubovich).
Generating operators and convolutions for some integral transforms.
Doklady Akademii Nauk BSSR 35(1991), 773776 (with S.Yakubovich).
Papers in conference proceedings
Mathematische Modelle der anomalen Grundwasserdiffusion.
In: Tagungsband zum Research Day 2015, Beuth Hochschule für Technik Berlin, 2015.
Bifurcation characteristics of fractional reactiondiffusion systems. In:
AIP Conf. Proc. 1493 (2012), 290297; doi: http://dx.doi.org/10.1063/1.4765503 (with B. Datsko and V. Gafiychuk).
Models of the neutralfractional anomalous diffusion and their analysis. In: AIP Conf. Proc. 1493 (2012),
626632; doi: http://dx.doi.org/10.1063/1.4765552
Neutralfractional diffusion and damped waves. In: Proceedings of
XXXII Dynamics Days Europe,
Gothenburg, Sweden, 27 September 2012,
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Some existence and uniqueness results for the timefractional diffusion equations. In: Proceedings of
TMSF 2011, the 6th International Conference Transform Methods and Special Functions, Sofia,
Bulgaria, October 2023, 2011
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Fractional nonlinear autonomous systems: stability analysis and limit cycles. In: Proceedings of
TMSF 2011, the 6th International Conference Transform Methods and Special Functions, Sofia,
Bulgaria, October 2023, 2011 (with B. Datsko)
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Nonlinear dynamics phenomena in fractional van der PolFitzHughNagumo model.
In: Proceedings of ENOC 2011, the 7th European
Nonlinear Dynamics Conference,
Rome, Italy, July 24  29, 2011 (with B. Datsko and V. Meleshko)
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Complex pattern formation in bistable fractional reactiondiffusion systems.
In: Proceedings of ENOC 2011, the 7th European
Nonlinear Dynamics Conference,
Rome, Italy, July 24  29, 2011 (with B. Datsko and V. Gafiychuk)
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Maximum Principle for the Fractional
Differential Equations and its Applications. In: Proceedings of FDA'10, the
4th IFAC Workshop on Fractional Differentiation and Its Applications,
Badajoz, Spain, October 1820, 2010.
Fractional calculus models for the anomalous
diffusion processes and their analysis.
In: AIP Conf. Proc. 1301 (2010), 623635; doi: http://dx.doi.org/10.1063/1.3526664
The multiindex MittagLeffler functions
and their applications for solving
fractional order problems in applied analysis.
In: AIP Conf. Proc. 1301 (2010), 597613; doi: http://dx.doi.org/10.1063/1.3526661 (with V. Kiryakova).
Maximum principle for the generalized multiterm timefractional diffusion equations and its
applications. In:
Proceedings of Symposium on Fractional Signals and Systems Lisbon'09,
Lisbon, Portugal, November 47, 2009. Download
InitialBoundaryValue Problems for the Generalized TimeFractional Diffusion Equation. In:
Proceedings of 3rd IFAC Workshop on Fractional Differentiation and its Applications (FDA08),
Ankara, Turkey, November 5  7, 2008. Download
Hankel type transforms connected with the hyperBessel differential operators.
In: Proceedings of Algebraic Analysis and Related Topics (Warsaw, 2125 Sept.'99),
Banach Center Publications (Inst. Math. PAN, Warsaw 2000) 53 (2000),
155165 (with V.Kiryakova).
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Operational method in fractional calculus. In: Proceedings of the
International Workshop
Transform Methods and Special Functions (TMSF99), Blagoevgrad, Bulgaria, 1320 August 1999,
463489.
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Analytical properties and applications of the Wright function.
In: Proceedings of the
International Workshop
Transform Methods and Special Functions (TMSF99), Blagoevgrad, Bulgaria, 1320 August 1999,
383415 (with R.Gorenflo and F.Mainardi).
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Convolutions of the generalized fractional integration operators.
In: Proceedings of 5th Intern. Conf. Complex Analysis and Appl.'91,
Sofia: Publishing House of the Bulgarian Academy, 1993, 199211 (with S.Yakubovich).
Evaluation of integrals and series with respect to indices (parameters)
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