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

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 244

Volume : 18 , Issue : 1
DOI:
Author :
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)

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 equation, Fractional derivatives and Integrals, Approximate solution.

A.M.S. subject classification

26A33, 31A10, 81Q05.

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