Iterative system of nabla fractional difference equations with two-point boundary conditions

Abstract

In this paper, we consider the nabla fractional order boundary value problemand derive sufficient conditions for the existence of positive solutions by an application of Krasnoselskii's fixed point theorem on a Banach space. Later, we derive sufficient conditions for the existence of a unique solution by applying Rus's contraction mapping theorem in a metric space, where two metrics are employed.

Multiple Positive Solutions for a System of Fractional Order BVP with p-Laplacian Operators and Parameters

“…The study of positive solutions of fractional order boundary value problems (FBVPs) is a rapidly growing field of research, and new results are being developed all the time [15][16][17][18][19][20][21][22][23][24][25][26][27]. This research has important applications in a variety of fields, including biology, physics, engineering, and finance.…”