Existence and Uniqueness of Mild Solutions for Fractional Partial Integro-Differential Equations

被引：2

作者：

Bo Zhu

Baoyan Han

机构：

[1] Shandong University of Finance and Economics,School of Mathematic and Quantitative Economics

[2] Shandong University of Art and Design,Common Course Teaching Department

来源：

Mediterranean Journal of Mathematics | 2020年 / 17卷

关键词：

Nonlinear time fractional partial integro-differential equation; Solution operator; Measure of noncompactness; General Banach contraction mapping principle; Convex-power condensing operator; 35R11; 35A01; 35A02; 35A24; 34G20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study a class of nonlinear time fractional partial integro-differential equations. The main results for the problem are obtained by the measure of noncompactness, solution operator, convex-power condensing operator and general Banach contraction mapping principle.

引用

共 50 条

[1] Existence and Uniqueness of Mild Solutions for Fractional Partial Integro-Differential Equations
Zhu, Bo
Han, Baoyan
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (04)
[2] EXISTENCE, UNIQUENESS AND BOUNDEDNESS OF SOLUTIONS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
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[J]. INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2021, 17 (03): : 1029 - 1039
[3] EXISTENCE AND UNIQUENESS OF SOLUTIONS TO FUNCTIONAL INTEGRO-DIFFERENTIAL FRACTIONAL EQUATIONS
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[4] EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR QUASI-LINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
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[6] ON EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION FOR FRACTIONAL SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS
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[J]. JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 23 (03) : 457 - 466
[7] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR THE FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
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[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
[8] ON THE EXISTENCE OF MILD SOLUTIONS TO SOME SEMILINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Diagana, T.
Mophou, G. M.
N'Guerekata, G. M.
[J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2010, (58)
[9] ON THE EXISTENCE OF SOLUTIONS OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
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[10] On the existence of solutions of fractional integro-differential equations
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[J]. Fractional Calculus and Applied Analysis, 2012, 15 : 44 - 69

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