On study of the coupled system of nonlocal fractional q-integro-differential equations

Abstract

In this paper, we introduce a coupled system of nonlocal fractional q-integro-differential equations. Under certain assumptions, we prove the existence and uniqueness of solutions for a coupled system of fractional q-integro-differential equations. We also study continuous dependence. We solve this system numerically using the finite–Simpson’s and cubic spline–Simpson’s methods. Finally, three examples are provided to demonstrate the efficacy of the methods employed.