EXISTENCE OF UPPER SOLUTION OF FIE INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION

Govind P. Kamble; Mohammed Mazhar Ul-Haque

Govind P. Kamble Department of Mathematics, P. E. S. College of Engineering, Nagsenvana, Aurangabad - 431002, Maharashtra, INDIA

Mohammed Mazhar Ul-Haque Department of Mathematics, SRTM, University, Nanded - 431606, Maharashtra, INDIA

Volume 18, Issue 1 Pages 113-128 April 30, 2022 301 downloads

Article overview

Abstract

In this paper, we will extend to prove the existence of maximal solution of quadratic fractional integral equation involving the generalized Mittag-Leffler function and this maximal solution will serve as an upper bound for the solution and this solution we got with the help of approximation of the integral equation by sequence of solution converging to this.

Keywords and Phrases

Quadratic fractional integral equationFractional derivatives and IntegralsApproximate solution.

AMS Subject Classification

26A33, 31A10, 81Q05.

Reference information

How to Cite

Govind P. Kamble, Mohammed Mazhar Ul-Haque (2022). EXISTENCE OF UPPER SOLUTION OF FIE INVOLVING GENERALIZED MITTAG-LEFFLER FUNCTION. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 113-128.

Back to this issue