Existence results for IBVP of (p,q)-fractional difference equations in Banach space

Abstract

This article focuses on the problem of integral boundary value for Riemann-Liouville derivatives equipped with $ \left(p, q\right) $-difference calculus in Banach space. To provide further clarification, our focus lies in establishing the existence of a solution to our problem using the measure of noncompactness (m.n.) and the Mönch's fixed point theorem. Our investigation in the Banach space encompasses two nonlinear terms with two distinct orders of derivatives. Our paper concludes with an illustrative example and conclusion.

Keywords

• boundary value problem
• existence of solutions
• banach space
• riemann-liouville fractional derivatives
• mönch fixed point theorem
• $ \left(p， q\right) $-difference calculus