The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations

DOI10.1007/S41478-018-0160-ZzbMath1428.33040OpenAlexW2907436535MaRDI QIDQ2335959

M. Kamarujjama, Owais khan, Nabiullah Khan

Publication date: 18 November 2019

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-018-0160-z

zbMATH Keywords

integral transformsfractional calculusfractional kinetic equationsgeneralized Mittag-Leffler functionFox-Wright function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (4)

Integral transforms of an extended generalized multi-index Bessel function ⋮ Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel \(F_3\) ⋮ Certain image formulae and fractional kinetic equations of generalized \(\mathtt{k} \)-Bessel functions via the Sumudu transform ⋮ Fractional calculus of generalized \(p\)-\(k\)-Mittag-Leffler function using Marichev-Saigo-Maeda operators

Cites Work

• Some fractional integral formulas for the Mittag-Leffler type function with four parameters
• On the solutions of certain fractional kinetic equations
• On the solutions of certain fractional kinetic equations involving \(k\)-Mittag-Leffler function
• On a generalization of Mittag-Leffler function and its properties
• Fractional integrals and solution of fractional kinetic equations involving \(k\)-Mittag-Leffler function
• SOME INTEGRALS ASSOCIATED WITH MULTIINDEX MITTAG-LEFFLER FUNCTIONS
• The G and H Functions as Symmetrical Fourier Kernels
• Generalized fractional integration of Bessel function of the first kind
• Fractional kinetic equations: solutions and applications
• The fractional kinetic equation and thermonuclear functions.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The generalized p-k-Mittag-Leffler function and solution of fractional kinetic equations