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

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-03-11 DOI:10.1007/s13540-024-00260-w

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引用次数: 0

摘要

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。

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

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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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464