On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations | Zendy

B. B. Jaimini | Zendy; Manju Sharma | Zendy; D. L. Suthar | Zendy; Sunıl Dutt Purohıt | Zendy

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On Multi-Index Mittag–Leffler Function of Several Variables and Fractional Differential Equations

Author(s) -

B. B. Jaimini,

Manju Sharma,

D. L. Suthar,

Sunıl Dutt Purohıt

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5458037

Subject(s) - mittag leffler function , mathematics , fractional calculus , operator (biology) , index (typography) , function (biology) , differential equation , mathematical analysis , biochemistry , chemistry , repressor , evolutionary biology , biology , world wide web , gene , transcription factor , computer science

In this paper, we have studied a unified multi-index Mittag–Leffler function of several variables. An integral operator involving this Mittag–Leffler function is defined, and then, certain properties of the operator are established. The fractional differential equations involving the multi-index Mittag–Leffler function of several variables are also solved. Our results are very general, and these unify many known results. Some of the results are concluded at the end of the paper as special cases of our primary results.

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