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Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Existence of Solutions of Ivps of Singular Multiterm Fractional Differential Equations with Impulse Effects

Author(s):

Xiaohui Yang

Department of Computer, Guangdong Police College, Guangzhou, 510230, P. R. China

liuyuji888@sohu.com

Yuji Liu

Department of Mathematics, Guangdong University of Fiance and Economics,
Guangzhou 510320, P. R. China

Abstract:

This paper is devoted to studying the existence of solutions of two classes of initial value problems for nonlinear fractional differential equations with impulse effects. Firstly we transform initial value problems into integral equations. Then by constructing a special Banach space and employing fixed-point theorem, we obtain some sufficient conditions that guarantee the existence of solutions of these problems of fractional differential equations involving Caputo fractional derivatives. One equation is involved in multiple base points and the other one is involved in a single base point.

Keywords

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