On Hybrid Type Nonlinear Fractional Integrodifferential Equations

Faten H. Damag, Adem Kılıçman and Awsan T. Al-Arioi
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Faten H. Damag: Department of Mathematics, University Taiz, 6803 Taiz, Yemen
Adem Kılıçman: Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, Serdang 43400, Malaysia
Awsan T. Al-Arioi: Department of Mathematics, University Taiz, 6803 Taiz, Yemen

Mathematics, 2020, vol. 8, issue 6, 1-14

Abstract: In this paper, we introduce and investigate a hybrid type of nonlinear Riemann Liouville fractional integro-differential equations. We develop and extend previous work on such non-fractional equations, using operator theoretical techniques, and find the approximate solutions. We prove the existence as well as the uniqueness of the corresponding approximate solutions by using hybrid fixed point theorems and provide upper and lower bounds to these solutions. Furthermore, some examples are provided, in which the general claims in the main theorems are demonstrated.

Keywords: fractional integro-differential equation; hybrid type fractional integro-differential equation; fixed point theorems; Dhage theorem; approximations solutions; Lipschitz conditions; weaker mixed partial continuity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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