Mittag-Leffler-type function of arbitrary order and their application in the fractional kinetic equation

DOI10.1007/s42985-023-00234-2zbMath1524.33058OpenAlexW4360611244MaRDI QIDQ6103777

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Publication date: 27 June 2023

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42985-023-00234-2

zbMATH Keywords

Mittag-Leffler functionLaplace transformsrecurrence relationsintegral relationsfractional kinetic equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Mittag-Leffler functions and generalizations (33E12)

Cites Work

• Mittag-Leffler functions and their applications
• On the solutions of certain fractional kinetic equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On solution of integral equation of Abel-Volterra type
• Arbitrary-order Hermite generating functions for obtaining arbitrary-order coherent and squeezed states
• Solved exercises in fractional calculus
• Pseudo Laguerre and pseudo Hermite polynomials
• Partial sums of Mittag-Leffler function
• Beyond Sin and Cos
• Mittag-Leffler Functions, Related Topics and Applications
• The fractional kinetic equation and thermonuclear functions.
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