On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses-Reference-Cited by-同舟云学术

On the fractional partial integro-differential equations of mixed type with non-instantaneous impulses

Published:2020-09-25 Issue:1 Volume:2020 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Zhu Bo,Han Baoyan,Liu Lishan,Yu Wenguang

Abstract

AbstractIn this paper, we consider the initial boundary value problem for a class of nonlinear fractional partial integro-differential equations of mixed type with non-instantaneous impulses in Banach spaces. Sufficient conditions of existence and uniqueness of PC-mild solutions for the equations are obtained via general Banach contraction mapping principle, Krasnoselskii’s fixed point theorem, and α-order solution operator.

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-020-01451-z.pdf

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