Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations-Reference-Cited by-同舟云学术

Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations

Published:2017-12-01 Issue:6 Volume:20 Page:1338-1355
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Zhu Bo¹²,Liu Lishan¹³,Wu Yonghong³

Affiliation:

1. School of Mathematical Sciences , Qufu Normal University , Qufu – 273165, Shandong , People’s Republic of China

2. School of Mathematic and Quantitative Economics , Shandong University of Finance and Economics , Jinan – 250014, Shandong , People’s Republic of China

3. Department of Mathematics and Statistics , Curtin University , Perth – WA6845 , Australia

Abstract

Abstract In this paper, we study a class of fractional semilinear integro-differential equations of order β ∈ (1,2] with nonlocal conditions. By using the solution operator, measure of noncompactness and some fixed point theorems, we obtain the existence of local and global mild solutions for the problem. The results presented in this paper improve and generalize many classical results. An example about fractional partial differential equations is given to show the application of our theory.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0071/pdf

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