UNIQUENESS AND STABILITY OF SOLUTIONS FOR A COUPLED SYSTEM OF NABLA FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEMS

UNIQUENESS AND STABILITY OF SOLUTIONS FOR A COUPLED SYSTEM OF NABLA FRACTIONAL DIFFERENCE BOUNDARY VALUE PROBLEMS

J. M. Jonnalagadda

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Abstract

In this article, we obtain su cient conditions on existence, uniqueness and Ulam{Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems, using Banach, Brouwer  xed point theorems and Urs's approach. Further, we illustrate the applicability of established results through an example.

Keywords

Nabla fractional Riemann{Liouville di erence, boundary value problem, existence, uniqueness, Ulam{Hyers stability.