APPROXIMATE SOLUTIONS AND EXISTENCE OF SOLUTION
FOR A CAPUTO NONLOCAL FRACTIONAL VOLTERRA
FREDHOLM INTEGRO-DIFFERENTIAL EQUATION
Basim N. Abood
Department of Mathematics
College of Education of Pure Science
University of Wasit, IRAQ

Abstract

We use a recent approach to establish the existence and uniqueness results of Caputo fractional Volterra Fredholm integro-differential equation. We derive some sufficient conditions for the existence of solutions of fractional integrodifferential equations with nonlocal conditions. the modified Adomian decomposition method is applied to obtain the approximate solution of proposed problem. Moreover, the Krasnoselskii's and Banach's fixed point theorems are employed to analyze our results. An example is given to justify the adduced results.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 6
Year: 2020

DOI: 10.12732/ijam.v33i6.7

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