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Existence of random coupled system of fractional differential equations in generalized Banach space with retarded and advanced arguments
Fouad Fredj  1, *@  , Hadda Hammouche  1@  
1 : Ghardaia University  -  Website
Ghardaia University, Ghardaia 47000, Algeria -  Algeria
* : Corresponding author

This paper aims to investigate a random coupled system with multiple fractional derivatives of $\psi-$Caputo with retarded and advanced arguments, and proves the uniqueness of random solution by applying random versions of the Pervo fixed point theorem, while the existence of solutions is derived by a random version of a Krasnoselskii-type fixed point theorem.



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