Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions-Reference-Cited by-同舟云学术

Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions

Published:2017-06-01 Issue:3 Volume:20 Page:679-705
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Yang Min¹,Wang Qiru¹

Affiliation:

1. School of Mathematics , Sun Yat-sen University Guangzhou , 510275 , P.R.China

Abstract

Abstract In this paper, we consider a class of evolution equations with Hilfer fractional derivative. By employing the fixed point theorem and the noncompact measure method, we establish a number of new criteria to guarantee the existence and uniqueness of mild solutions when the associated semigroup is compact or not.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0036/pdf

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