Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations

Version 1 : Received: 13 February 2020 / Approved: 14 February 2020 / Online: 14 February 2020 (02:12:02 CET)

How to cite: Damag, F.H.; Kılıçman, A.; Al-Arioi, A.T. On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints 2020, 2020020176 (doi: 10.20944/preprints202002.0176.v1). Damag, F.H.; Kılıçman, A.; Al-Arioi, A.T. On the Solutions of Nonlinear Hybrid Fractional Integrodifferential Equations. Preprints 2020, 2020020176 (doi: 10.20944/preprints202002.0176.v1).

Abstract

In the present work we study the existence of solutions for hybrid nonlinear fractional integrodifferential equations. We developed an algorithm by using the operator theoretical techniques in order to obtain the approximate solutions. The main results depend on the Dhage iteration method that were incorporated with the modern hybrid fixed point theorems. The approximate solutions were obtained by using Lipschitz conditions and weaker form of mixed partial continuity. Further, we provide some examples to explain the hypotheses and the related results.

Subject Areas

hybrid fractional integrodifferential equation; hybrid fixed point theorems of Dhage; approximations solutions; Lipschitz conditions; weaker mixed partial continuity

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