Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations
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Authors
Zhu, B.
Liu, Lishan
Wu, Yong Hong
Date
2017Type
Journal Article
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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.
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Fractional Calculus and Applied Analysis
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School of Electrical Engineering, Computing and Mathematical Science (EECMS)
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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.