- Results in Nonlinear Analysis
- Volume:4 Issue:4
- Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differenti...
Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differential equations via fixed point theorems
Authors : Abderrahim GUERFİ, Abdelouaheb ARDJOUNİ
Pages : 207-216
Doi:10.53006/rna.935737
View : 35 | Download : 7
Publication Date : 2021-12-31
Article Type : Research Paper
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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