Unified Fractional Derivative Formulae for the Generalized Mittag-Leffler Function

Authors

  • Dayalal Suthar * Department of Mathematics, College of Natural Sciences, Wollo University, Dessie, Ethiopia
  • Haile Habenom Anteneh Department of Mathematics, College of Natural Sciences, Wollo University, Dessie, Ethiopia

Abstract

The aim of this paper is to evaluate two unified fractional derivative involving the product of generalized Mittag-Leffler function and Appell function F3 (.). These integrals are further applied in proving two theorems on Marichev-Saigo-Maeda fractional derivative operators. The results are expressed in terms of generalized Wright function and generalized hypergeometric functions pFq(.). Further, we point out also their relevance.

Keywords:

Marichev-Saigo-Maeda Fractional derivative operators, Generalized Mittag-Leffler function, Generalized Wright function, Generalized Hypergeometric series

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Published

2016-12-31

How to Cite

Suthar, D. ., & Habenom Anteneh, H. . (2016). Unified Fractional Derivative Formulae for the Generalized Mittag-Leffler Function. Abyssinia Journal of Science and Technology, 1(1), 1–5. Retrieved from https://abjol.org.et/index.php/ajst/article/view/57

Issue

Vol. 1 No. 1 (2016)

Section

Original Research Articles

License

Copyright (c) 2016 AJST

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