一类混合型分数阶半线性积分-微分方程解的存在性

Abstract

Abstract:

In this paper, the authors studied the existence results of the mild solutions for a class of fractional semilinear integro-differential equation of mixed type by using the measure of noncompactness, k-set contraction and β-resolvent family. It is well known that the k-set contraction requires additional condition to ensure the contraction coefficient 0 < k < 1. We don't require additional condition to ensure the contraction coefficient 0 < k < 1. An example is introduced to illustrate the main results of this paper.

Key words: Fractional semilinear integro-differential equation of mixed type, k-Set contraction, Measure of noncompactness, β-Resolvent family

CLC Number:

O175

Bo Zhu,Baoyan Han,Lishan Liu. Existence of Mild Solutions for a Class of Fractional Semilinear Integro-Differential Equation of Mixed Type[J].Acta mathematica scientia,Series A, 2019, 39(6): 1334-1341.

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References 23

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Existence of Mild Solutions for a Class of Fractional Semilinear Integro-Differential Equation of Mixed Type

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