On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions
In this paper, the existence and uniqueness results of the generalization nonlinear fractional integro-differential equations with nonseparated type integral boundary conditions are investigated. A natural formula of solutions is derived and some new existence and uniqueness results are obtained und...
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Series: | Mathematical Problems in Engineering |
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doaj-130cd18b3d8448f1b7c6af001b6c19162020-11-25T03:14:55ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/86794658679465On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary ConditionsYanyuan Xing0Feng Jiao1Fang Liu2School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaSchool of Mathematics and Information Sciences, Guangzhou University, Guangzhou, Guangdong 510006, ChinaDepartment of Mathematics, Luliang University, Luliang, Shanxi 033000, ChinaIn this paper, the existence and uniqueness results of the generalization nonlinear fractional integro-differential equations with nonseparated type integral boundary conditions are investigated. A natural formula of solutions is derived and some new existence and uniqueness results are obtained under some conditions for this class of problems by using standard fixed point theorems and Leray–Schauder degree theory, which extend and supplement some known results. Some examples are discussed for the illustration of the main work.http://dx.doi.org/10.1155/2020/8679465 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yanyuan Xing Feng Jiao Fang Liu |
spellingShingle |
Yanyuan Xing Feng Jiao Fang Liu On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions Mathematical Problems in Engineering |
author_facet |
Yanyuan Xing Feng Jiao Fang Liu |
author_sort |
Yanyuan Xing |
title |
On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions |
title_short |
On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions |
title_full |
On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions |
title_fullStr |
On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions |
title_full_unstemmed |
On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions |
title_sort |
on the generalization of a solution for a class of integro-differential equations with nonseparated integral boundary conditions |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2020-01-01 |
description |
In this paper, the existence and uniqueness results of the generalization nonlinear fractional integro-differential equations with nonseparated type integral boundary conditions are investigated. A natural formula of solutions is derived and some new existence and uniqueness results are obtained under some conditions for this class of problems by using standard fixed point theorems and Leray–Schauder degree theory, which extend and supplement some known results. Some examples are discussed for the illustration of the main work. |
url |
http://dx.doi.org/10.1155/2020/8679465 |
work_keys_str_mv |
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_version_ |
1715268591318728704 |