The extended Mittag-Leffler function via fractional calculus

By Gauhar Rahman, Dumitru Băleanu, M. A. Qurashi, Sunil Dutt Purohit, Shahid Mubeen, Muhammad Arshad. 2017

89 citations recorded by the source corpus.

In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: E γ;q,c α,β (z) = ∞ ∑ n=0 Bp(γ+nq, c− γ)(c)nq B(γ, c− γ)Γ(αn+β) zn n! , (z,β,γ ∈ C), as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels. c ©2017 All rights reserved.

Subfields: Mathematical Physics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d8fa3bd49bf4de66fe8035819f576709b6b8885a