Fractional calculus formulas for extended Mittag-Leffler-type function of arbitrary order using Marichev-Saigo-Maeda operators

Document Type : Regular research papers

Authors

Department of Mathematics, Aden University, Aden, Yemen

Abstract

Several fractional calculus operators have been introduced and studied. We aim to present the
Marichev-Saigo-Maeda fractional integration and differentiation of the extended Mittag-Leffler-type function of arbitrary order. The Caputo-typ Marichev-Saigo-Maeda fractional derivatives are considered for the extended Mittag-Leffler-type function of arbitrary order. As special cases, the corresponding assertions for the Saigo, Erd´elyi–Kober and Riemann–Liouville fractional operators are also deduced.Several fractional calculus operators have been introduced and studied. We aim to present the
Marichev-Saigo-Maeda fractional integration and differentiation of the extended Mittag-Leffler-type function of arbitrary order. The Caputo-typ Marichev-Saigo-Maeda fractional derivatives are considered for the extended Mittag-Leffler-type function of arbitrary order. As special cases, the corresponding assertions for the Saigo, Erd´elyi–Kober and Riemann–Liouville fractional operators are also deduced.Several fractional calculus operators have been introduced and studied. We aim to present the
Marichev-Saigo-Maeda fractional integration and differentiation of the extended Mittag-Leffler-type function of arbitrary order. The Caputo-typ Marichev-Saigo-Maeda fractional derivatives are considered for the extended Mittag-Leffler-type function of arbitrary order. As special cases, the corresponding assertions for the Saigo, Erd´elyi–Kober and Riemann–Liouville fractional operators are also deduced.

Keywords

Main Subjects

Files

Share

How to cite

Statistics