On the integral transform of Mittag-Leffler-type functions with applications

DOI10.1515/anly-2018-0074zbMath1482.33014OpenAlexW3162310426MaRDI QIDQ1983529

Devendra Kumar, Anupama Choudhary, Jagdev Singh

Publication date: 10 September 2021

Published in: Analysis (München) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anly-2018-0074

zbMATH Keywords

Laplace transformgeneralized Mittag-Leffler functiongeneralized Wright functionSumudu conversion

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Classical operational calculus (44A45)

Cites Work

• A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Analytical investigations of the Sudumu transform and applications to integral production equations
• On a generalization of Mittag-Leffler function and its properties
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Application of Sumudu transform to partial differential equations
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
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