On Hybrid Type Nonlinear Fractional Integrodifferential Equations

On Hybrid Type Nonlinear Fractional Integrodifferential Equations

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...

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Bibliographic Details
Main Authors: Faten H. Damag, Adem Kılıçman, Awsan T. Al-Arioi
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Mathematics
Subjects:
fractional integro-differential equation
hybrid type fractional integro-differential equation
fixed point theorems
Dhage theorem
approximations solutions
Lipschitz conditions
Online Access:https://www.mdpi.com/2227-7390/8/6/984
Description
Summary: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.
ISSN:2227-7390

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