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JOURNALS // Ural Mathematical Journal // Archive

Ural Math. J., 2019 Volume 5, Issue 1, Pages 3–12 (Mi umj69)

This article is cited in 15 papers

Approximating solutions of nonlinear hybrid Caputo fractional integro-differential equations via Dhage iteration principle

Abdelouaheb Ardjounia, Ahcene Djoudib

a Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria
b Department of Mathematics, University of Annaba, P.O. Box 12, Annaba, 23000, Algeria

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.

Keywords: approximating solutions, initial value problems, Dhage iteration principle, hybrid fixed point theorem.

Language: English

DOI: 10.15826/umj.2019.1.001



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