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

Zhu, B.; Liu, Lishan; Wu, Yong Hong

doi:10.1515/fca-2017-0071

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Authors

Zhu, B.

Liu, Lishan

Wu, Yong Hong

Date

2017

Type

Journal Article

Metadata

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Citation

Zhu, B. and Liu, L. and Wu, Y.H. 2017. Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations. Fractional Calculus and Applied Analysis. 20 (6): pp. 1338-1355.

Source Title

Fractional Calculus and Applied Analysis

DOI

10.1515/fca-2017-0071

ISSN

1311-0454

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/66243

Collection

Curtin Research Publications

Abstract

© 2017 Diogenes Co., Sofia 2017. In this paper, we study a class of fractional semilinear integro-differential equations of order ß ? (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.