ANALYTICAL PROPERTIES OF FRACTIONAL CALCULUS AND TRANSFORMS ASSOCIATED WITH EXTENDED MITTAG-LEFFLER FUNCTION

Document Type : Regular research papers

Authors

Department of Applied Mathematics, Aligarh Muslim University, Aligarh

Abstract

The main object of the present paper is to introduce a new extension of the generalized Mittag-Leffler function utilizing the extended beta function. Among the many properties we evaluated for the extended Mittag - Leffler function are derivative formulas, Mellin transform, Laplace transform,
Euler-Beta transform, and Whittaker transform. Further, we establish some results based on the consequences of Riemann-Liouville fractional integral and differential operators on the extended Mittag-Leffler function. The main object of the present paper is to introduce a new extension of the generalized Mittag-Leffler function utilizing the extended beta function. Among the many properties we evaluated for the extended Mittag - Leffler function are derivative formulas, Mellin transform, Laplace transform, Euler-Beta transform, and Whittaker transform. Further, we establish some results based on the consequences of Riemann-Liouville fractional integral and differential operators on the extended Mittag-Leffler function.The main object of the present paper is to introduce a new extension of the generalized Mittag-Leffler function utilizing the extended beta function. Among the many properties we evaluated for the extended Mittag - Leffler function are derivative formulas, Mellin transform, Laplace transform,
Euler-Beta transform, and Whittaker transform. Further, we establish some results based on the consequences of Riemann-Liouville fractional integral and differential operators on the extended Mittag-Leffler function.

Keywords

Main Subjects

Files

Share

How to cite

Statistics