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APPROXIMATING SOLUTIONS OF NONLINEAR HYBRID CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS VIA DHAGE ITERATION PRINCIPLE

Abdelouaheb Ardjouni, Ahcene Djoudi

Ural Mathematical Journal · 2019

doi:10.15826/umj.2019.1.001 (opens in a new tab)

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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.

Abstract licence: CC BY

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