Approximating Solutions of Nonlinear Hybrid Caputo Fractional Integro-Differential Equations via Dhage Iteration Principle

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...

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Veröffentlicht in:Ural mathematical journal 2019, Vol.5 (1), p.3-12
Hauptverfasser: Ardjouni, Abdelouaheb, Djoudi, Ahcene
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2414-3952
2414-3952
DOI:10.15826/umj.2019.1.001