Further results on the generalized Mittag-Leffler function operator

DOI10.1186/s13660-015-0589-4zbMath1311.33013OpenAlexW2127424137WikidataQ59424992 ScholiaQ59424992MaRDI QIDQ2262886

Jignesh P. Chauhan, Ajay K. Shukla, Ranjan Kumar Jana, Ram Kishore Saxena

Publication date: 16 March 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0589-4

zbMATH Keywords

Laplace transformMellin transform\(H\)-functionRiemann-Liouville fractional integralgeneralized Mittag-Leffler functionMellin-Barnes type integralsHilfer derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10)

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Cites Work

• Some results on the generalized Mittag-Leffler function operator
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• The Wright functions as solutions of the time-fractional diffusion equation.
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• A unified presentation of the gamma-type functions occurring in diffraction theory and associated probability distributions
• On a generalization of Mittag-Leffler function and its properties
• The H-Function
• Generalized mittag-leffler function and generalized fractional calculus operators
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• The Asymptotic Expansion of the Generalized Hypergeometric Function
• Operators of fractional integration and their applications
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