Global optimization of a nonlinear system of differential equations involving $$\psi $$ -Hilfer fractional derivatives of complex order

IF 2.9 2区数学 Q1 MATHEMATICS Fractional Calculus and Applied Analysis Pub Date : 2024-03-11 DOI:10.1007/s13540-024-00260-w

引用次数: 0

Abstract

In this paper, a class of cyclic (noncyclic) operators of condensing nature are defined on Banach spaces via a pair of shifting distance functions. The best proximity point (pair) results are manifested using the concept of measure of noncompactness (MNC) for the said operators. The obtained best proximity point result is used to demonstrate existence of optimum solutions of a system of differential equations involving $\psi $ -Hilfer fractional derivatives of complex order.

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涉及复阶 $$\psi $$ -Hilfer 分数导数的非线性微分方程系统的全局优化

摘要本文通过一对移动距离函数，在巴拿赫空间上定义了一类具有凝聚性质的循环（非循环）算子。利用上述算子的非紧密性度量（MNC）概念，体现了最佳邻近点（对）结果。所获得的最佳邻近点结果被用来证明涉及复阶 $\psi $ -Hilfer 分数导数的微分方程系的最优解的存在性。

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

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.