Mokhtar Boumaaza, Mouffak Benchohra, Johnny Henderson, Random coupled Caputo-type modification of Erdélyi-Kober fractional differential systems in generalized Banach spaces with retarded and advanced arguments, Vol. 2021 (2021), Article ID 3, pp. 1-14

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DOI: 10.23952/cot.2021.3

Received September 27, 2020; Accepted February 11, 2021; Published March 1, 2021

 

Abstract. In this paper, we deal with existence and uniqueness of random solutions of a coupled system of nonlinear implicit fractional differential equations of the Caputo-type modification of the Erdélyi-Kober equation, involving both retarded and advanced arguments. The main tool used to carry out our results is a random fixed point theorem. An example is included to show the applicability of the outcomes.

 

How to Cite this Article:
Mokhtar Boumaaza, Mouffak Benchohra, Johnny Henderson, Random coupled Caputo-type modification of Erdélyi-Kober fractional differential systems in generalized Banach spaces with retarded and advanced arguments, Communications in Optimizaton Theory, Vol. 2021 (2021), Article ID 3, pp. 1-14.