NDLI: Mild Solutions for Fractional Impulsive Integro-Differential Evolution Equations with Nonlocal Conditions in Banach Spaces

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Mild Solutions for Fractional Impulsive Integro-Differential Evolution Equations with Nonlocal Conditions in Banach Spaces

Content Provider	MDPI
Author	Li, Ye Qu, Biao
Copyright Year	2022
Description	In this paper, by using the cosine family theory, measure of non-compactness, the Mönch fixed point theorem and the method of estimate step by step, we establish the existence theorems of mild solutions for fractional impulsive integro-differential evolution equations of order $1<β\leq2$ with nonlocal conditions in Banach spaces under some weaker conditions. The results obtained herein generalizes and improves some known results. Finally, an example is presented for the demonstration of obtained results.
Starting Page	1655
e-ISSN	20738994
DOI	10.3390/sym14081655
Journal	Symmetry
Issue Number	8
Volume Number	14
Language	English
Publisher	MDPI
Publisher Date	2022-08-10
Access Restriction	Open
Subject Keyword	Symmetry Industrial Engineering Fractional Impulsive Integro-differential Evolution Equations Fixed Point Measure of Noncompactness Existence
Content Type	Text
Resource Type	Article

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