Stability Analysis of a Fractional Order Discrete Anti-Periodic Boundary Value Problem

Authors

  • A. George Maria Selvam Sacred Heart College (Autonomous), PG and Research Department of Mathematics, Tirupattur-635601, Vellore Dist., Tamil Nadu
  • Mary Jacintha Sacred Heart College (Autonomous), PG and Research Department of Mathematics, Tirupattur-635601, Vellore Dist., Tamil Nadu
  • R. Dhineshbabu Sacred Heart College (Autonomous), PG and Research Department of Mathematics, Tirupattur-635601, Vellore Dist., Tamil Nadu

DOI:

https://doi.org/10.26713/cma.v12i1.1445

Keywords:

Existence, Ulam Stability, Boundary Value Problem, Caputo Fractional Difference operator

Abstract

This article aims at investigating stability properties for a class of discrete fractional equations with anti-periodic boundary conditions of fractional order \(\delta=(3,4]\). Utilizing Contraction mapping principle and fixed point theorem due to Brouwer, new criteria for the uniqueness and existence of the solutions are developed and two types of Ulam stability are analysed. The theoretical outcomes are corroborated with examples.

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Published

31-03-2021
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How to Cite

Selvam, A. G. M., Jacintha, M., & Dhineshbabu, R. (2021). Stability Analysis of a Fractional Order Discrete Anti-Periodic Boundary Value Problem. Communications in Mathematics and Applications, 12(1), 95–107. https://doi.org/10.26713/cma.v12i1.1445

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Research Article