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

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-02-20 DOI:10.1007/s13540-024-00248-6

引用次数: 0

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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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

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。

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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