Existence and uniqueness of the global solution for a class of nonlinear fractional integro-differential equations in a Banach space

被引：0

作者：

Peiguo Zhang

Xinan Hao

Lishan Liu

机构：

[1] Heze University,School of Mathematics and Statistics

[2] Qufu Normal University,School of Mathematical Sciences

[3] Curtin University,Department of Mathematics and Statistics

来源：

Advances in Difference Equations | / 2019卷

关键词：

Nonlinear fractional integro-differential equations; Banach space; Infinite interval; 34A08; 34B15; 34B40; 45J05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by employing fixed point theory, we investigate the existence and uniqueness of solutions for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach space.

引用

共 50 条

[1] Existence and uniqueness of the global solution for a class of nonlinear fractional integro-differential equations in a Banach space
Zhang, Peiguo
Hao, Xinan
Liu, Lishan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[2] 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,
[3] Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces
Peiguo Zhang
Xinan Hao
[J]. Advances in Difference Equations, 2018
[4] Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces
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Hao, Xinan
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[5] An analytical solution with existence and uniqueness conditions for fractional integro-differential equations
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Kumar, Manoj
[J]. INTERNATIONAL JOURNAL OF MODELING SIMULATION AND SCIENTIFIC COMPUTING, 2020, 11 (05)
[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] A GLOBAL EXISTENCE AND UNIQUENESS RESULT FOR FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Benchohra, M.
Litimein, S.
[J]. ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2012, 58 (01): : 55 - 66
[8] Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
Zhang, Lihong
Ahmad, Bashir
Wang, Guotao
Agarwal, Ravi P.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 249 : 51 - 56
[9] Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space
Juqing Liu
Kaihong Zhao
[J]. Advances in Difference Equations, 2019
[10] Existence of mild solution for a class of coupled systems of neutral fractional integro-differential equations with infinite delay in Banach space
Liu, Juqing
Zhao, Kaihong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)

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