Open AccessMathematics

A. Ardjouni, A. Djoudi

2019.7.25Ural Mathematical Journal

DOI: 10.15826/umj.2019.1.001

tlooto Summary

This article proves the existence and approximation of solutions for nonlinear hybrid Caputo fractional integro-differential equations using the Dhage iteration principle.

Abstract

In this article, we prove the existence and approximation of solutions of the initial value problems of nonlinear hybrid Caputo fractional integro-differential equations. The main tool employed here is the Dhage iteration principle in a partially ordered normed linear space. An example is also given to illustrate the main results.

Citation format

ARDJOUNI, A.; DJOUDI, A. Approximating solutions of nonlinear hybrid caputo fractional integro-differential equations via dhage iteration principle. Ural Mathematical Journal, 2019.