Existence of solutions for infinite system of nonlinear q-fractional boundary value problem in Banach spaces

Abstract

Studying various fixed point theorems on Banach spaces such as the Darbo’s fixed point theorem, has recently proved to be quite effective while doing research on existence problems. We here use a contraction operator to demonstrate a modified Darbo-type fixed point result with the intention to study the existence of solutions of infinite system of nonlinear q-fractional boundary value problem in the Banach spaces. Towards the end, reasonable example is presented to validate our findings.