Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the...

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Bibliographic Details
Published inArab journal of mathematical sciences Vol. 25; no. 2; pp. 156 - 168
Main Authors Kamarujjama, M., Khan, N.U., Khan, Owais
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2019
Emerald Publishing
Subjects
Fox H-function
Fox–Wright function
Fractional calculus operators
Generalized p-k-Mittag-Leffler function
33E12
Fox H-function
Fractional calculus operators
26A33
33C20
62E12
Fox–Wright function
Generalized p-k-Mittag-Leffler function
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Summary:In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results.
ISSN:1319-5166
DOI:10.1016/j.ajmsc.2019.05.003