AN INVESTIGATION ON THE EXISTENCE AND UNIQUENESS ANALYSIS OF THE FRACTIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

Fawzi Muttar Ismaael

Nonlinear Functional Analysis and Applications Department of Mathematics Education, Kyungnam University, Korea

ISSN (Print) 1229-1595 ISSN (Online) 2466-0973

AN INVESTIGATION ON THE EXISTENCE AND UNIQUENESS ANALYSIS OF THE FRACTIONAL NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS

Authors

Fawzi Muttar Ismaael Department of Mathematics, Open Education College, Ministry of Education

Abstract

In this paper, by means of the Schauder fixed point theorem and Arzela-Ascoli theorem, the existence and uniqueness of solutions for a class of not instantaneous impulsive problems of nonlinear fractional functional Volterra-Fredholm integro-differential equations are investigated. An example is given to illustrate the main results.