通过非紧凑性度量看 $$\gamma \in (1,2)$$ 阶分数延迟演化方程正解的存在性

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2024-02-20 DOI:10.1007/s13540-024-00248-6

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引用次数: 0

摘要

摘要本文的目的是考虑有序巴纳赫空间中的阶$\gamma \in (1,2)$分式延迟演化方程。在没有余弦族或相关正弦族紧凑性假设的情况下，在非线性函数满足非紧凑性度量条件和一些适当的增长条件或阶次条件的条件下，利用一些定点定理和单调迭代法研究了正解的存在性结果。

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Existence of positive solutions for fractional delayed evolution equations of order $$\gamma \in (1,2)$$ via measure of non-compactness

Abstract

The purpose of this paper is to consider the fractional delayed evolution equation of order $\gamma \in (1,2)$ in ordered Banach space. In the absence of assumptions about the compactness of cosine families or related sine families, the existence results of positive solutions are studied by using some fixed point theorems and monotone iterative method under the conditions that nonlinear function satisfies the non-compactness measure conditions and some appropriate growth conditions or order conditions.

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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.