具有周期脉冲的分数阶发展方程周期mild解的存在性

Abstract

Abstract:

This paper discusses the fractional evolution equations with piecewise Caputo derivative and periodic impulses. The existence and uniqueness of periodic mild solutions for the associated linear evolution equation with periodic impulses is established. With the aid of the expression of the solution operator for the linear impulsive periodic problem, some new existence results of periodic mild solutions for semilinear impulsive periodic problems are showed by means of the operator semigroup theory and fixed point theorems.

Key words: Impulsive fractional evolution equations, Periodic impulses, Periodic mild solutions, Existence, Compact semigroup

CLC Number:

O177

Qiang Li,Lishan Liu. Existence of Periodic Mild Solutions for Fractional Evolution Equations with Periodic Impulses[J].Acta mathematica scientia,Series A, 2022, 42(5): 1433-1450.

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References 29

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Existence of Periodic Mild Solutions for Fractional Evolution Equations with Periodic Impulses

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