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Existence of mild solutions to Hilfer fractional evolution equations in Banach space
Annals of Functional Analysis ( IF 1.2 ) Pub Date : 2020-11-19 , DOI: 10.1007/s43034-020-00095-5
J. Vanterler da C. Sousa , Fahd Jarad , Thabet Abdeljawad

In this paper, we investigate the existence of mild solutions to Hilfer fractional equation of semi-linear evolution with non-instantaneous impulses, using the concepts of equicontinuous $C_{0}$-semigroup and Kuratowski measure of non-compactness in Banach space $\Omega$.

中文翻译:

Banach空间中Hilfer分数阶演化方程的温和解的存在性

在本文中,我们使用等连续 $C_{0}$-半群的概念和巴拿赫空间中非紧致性的 Kuratowski 测度,研究了具有非瞬时脉冲的半线性演化的 Hilfer 分数方程的温和解的存在性\欧米茄$。
更新日期:2020-11-19
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