On a coupled nonlinear fractional integro-differential equations with coupled non-local generalised fractional integral boundary conditions
by Subramanian Muthaiah
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 2, 2022

Abstract: We investigate a coupled Liouville-Caputo fractional integro-differential equations (CLCFIDEs) with nonlinearities that depend on the lower order fractional derivatives of the unknown functions, and also fractional integrals of the unknown functions supplemented with the coupled non-local generalised Riemann-Liouville fractional integral (GRLFI) boundary conditions. The existence and uniqueness results have endorsed by Leray-Schauder nonlinear alternative, and Banach fixed point theorem respectively. Sufficient examples have also been supplemented to substantiate the proof, and we have discussed some variants of the given problem.

Online publication date: Mon, 20-Jun-2022

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