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Existence results for coupled hybrid Hadamard fractional differential equations in Banach spaces
Dimplekumar Chalishajar,P. Karthikeyan,K. Buvaneswari 한국전산응용수학회 2021 Journal of Applied and Pure Mathematics Vol.3 No.5
The purpose of this paper is to find the existence results for a coupled system of nonlinear hybrid Hadamard fractional differential equations associated with the initial conditions. The obtained result is a new configuration in the coupled system and it is studied using the classical fixed point theorem due to Dhage. The nonlinearities in the coupled system of equations depend on the unknown functions as well as their lower order fractional derivatives. Sufficient criteria ensuring the existence of solutions for the given problem are presented. Our results are new in the given configuration and are well illustrated with the aid of example.