Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differential equations via fixed point theorems

Abstract

We prove the existence and uniqueness of mild solutions for initial value
problems of nonlinear hybrid first order Caputo fractional
integro-differential equations. The main tool employed here is the
Krasnoselskii and Banach fixed point theorems. An example is also given to
illustrate the main results. In addition, the case of the Higher order
Caputo fractional integro-differential equations is studied.

Keywords

• Hybrid fractional integro-differential equations
• Fixed point theorems
• Existence
• Uniqueness

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