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

被引：2

作者：

Selvam, A. George Maria ^{[1
]}

Jacintha, Mary ^{[1
]}

Dhineshbabu, R. ^{[1
]}

机构：

[1] Sacred Heart Coll Autonomous, Dept Math, Tirupattur 635601, Tamil Nadu, India

来源：

COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2021年 / 12卷 / 01期

关键词：

Existence; Ulam stability; Boundary value problem; Caputo fractional difference operator;

D O I：

10.26713/cma.v12i1.1445

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：95 / 107

页数：13

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