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

被引：9

作者：

Zhu, Bo ^{[1
]}

Han, Baoyan ^{[2
]}

机构：

[1] Shandong Univ Finance & Econ, Sch Mathemat & Quantitat Econ, Jinan 250014, Shandong, Peoples R China

[2] Shandong Univ Art & Design, Common Course Teaching Dept, Jinan 250014, Shandong, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Nonlinear time fractional partial integro-differential equation; Solution operator; Measure of noncompactness; General Banach contraction mapping principle; Convex-power condensing operator; DIFFERENTIAL-EQUATIONS; GLOBAL-SOLUTIONS; BANACH-SPACES; THEOREMS;

D O I：

10.1007/s00009-020-01550-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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

页数：12

共 50 条

[1] Existence and Uniqueness of Mild Solutions for Fractional Partial Integro-Differential Equations
Bo Zhu
Baoyan Han
[J]. Mediterranean Journal of Mathematics, 2020, 17
[2] EXISTENCE, UNIQUENESS AND BOUNDEDNESS OF SOLUTIONS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Hussain, Khawlah Hashim
[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
Sidi Ammi, Moulay Rchid
Hassan El Kinani, El
Torres, Delfim F. M.
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[4] EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR QUASI-LINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS
Ramos, Priscila Santos
Sousa, J. Vanterler Da C.
De Oliveira, E. Capelas
[J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2022, 11 (01): : 1 - 24
[5] Existence and Uniqueness of Solutions for Fractional Integro-Differential Equations and Their Numerical Solutions
Bazgir H.
Ghazanfari B.
[J]. International Journal of Applied and Computational Mathematics, 2020, 6 (4)
[6] ON EXISTENCE AND UNIQUENESS OF THE MILD SOLUTION FOR FRACTIONAL SEMILINEAR INTEGRO-DIFFERENTIAL EQUATIONS
Matar, Mohammed
[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
Wu, Jun
Liu, Yicheng
[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
Aghajani, Asadollah
Jalilian, Yaghoub
Trujillo, Juan J.
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (01) : 44 - 69
[10] On the existence of solutions of fractional integro-differential equations
Asadollah Aghajani
Yaghoub Jalilian
Juan J. Trujillo
[J]. Fractional Calculus and Applied Analysis, 2012, 15 : 44 - 69

← 1 2 3 4 5 →