Stability Analysis Of A Fractional Order Discrete Anti-Periodic Boundary Value Problem

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS(2021)

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摘要
This article aims at investigating stability properties for a class of discrete fractional equations with anti-periodic boundary conditions of fractional order delta is an element of (3,4]. Utilizing contraction mapping principle and fixed point theorem due to Brouwer [2], new criteria for the uniqueness and existence of the solutions are developed and two types of Ulam stability are analyzed. The theoretical outcomes are corroborated with examples.
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关键词
Existence, Ulam stability, Boundary value problem, Caputo fractional difference operator
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