Exact solution of two-term time-fractional Thornley's problem by operational method

DOI10.1080/10652469.2013.815184zbMath1297.35265OpenAlexW2086124932MaRDI QIDQ2874104

Emilia Bazhlekova, Ivan H. Dimovski

Publication date: 28 January 2014

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.815184

zbMATH Keywords

Mittag-Leffler functionoperational calculusCaputo fractional derivativetime-fractional diffusion equationnon-classical convolutionnon-local BVP

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Calculus of Mikusi?ski and other operational calculi (44A40) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (8)

Overconvergence of series in generalized Mittag-Leffler functions ⋮ Hölder stability estimate in an inverse source problem for a first and half order time fractional diffusion equation ⋮ The Prabhakar or three parameter Mittag-Leffler function: theory and application ⋮ Identification of a space-dependent source term in a nonlocal problem for the general time-fractional diffusion equation ⋮ Completely monotone multinomial Mittag-Leffler type functions and diffusion equations with multiple time-derivatives ⋮ AN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation ⋮ Viscoelastic flows with fractional derivative models: computational approach by convolutional calculus of Dimovski

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