ON BEST PROXIMITY POINT APPROACH TO SOLVABILITY OF A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Journal of Applied Analysis and Computation Pub Date : 2023-01-01 DOI:10.11948/20230007

Pradip Ramesh Patle, Moosa Gabeleh, Manuel De La Sen

引用次数: 0

Abstract

In this article, a class of cyclic (noncyclic) condensing operators is defined on a Banach space using the notion of measure of noncompactness and $ C $-class functions. For these newly defined condensing operators, best proximity point (pair) results are manifested. Then the obtained main results are applied to demonstrate the existence of optimum solutions of a system of fractional differential equations involving $ \psi $-Hilfer fractional derivatives.

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分数阶微分方程系统可解性的最佳接近点方法

本文利用非紧性测度的概念和$ C $-类函数在Banach空间上定义了一类循环(非循环)压缩算子。对于这些新定义的凝聚算子，得到了最佳接近点(对)结果。然后应用所得的主要结果，证明了一类包含$ \psi $-Hilfer分数阶导数的分数阶微分方程组最优解的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Analysis and Computation MATHEMATICS, APPLIED-

CiteScore

2.30

自引率

9.10%

发文量

期刊介绍： The Journal of Applied Analysis and Computation (JAAC) is aimed to publish original research papers and survey articles on the theory, scientific computation and application of nonlinear analysis, differential equations and dynamical systems including interdisciplinary research topics on dynamics of mathematical models arising from major areas of science and engineering. The journal is published quarterly in February, April, June, August, October and December by Shanghai Normal University and Wilmington Scientific Publisher, and issued by Shanghai Normal University.