On the Generalization of a Solution for a Class of Integro-Differential Equations with Nonseparated Integral Boundary Conditions

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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Main Authors: Yanyuan Xing, Feng Jiao, Fang Liu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/8679465
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spelling 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 AT yanyuanxing onthegeneralizationofasolutionforaclassofintegrodifferentialequationswithnonseparatedintegralboundaryconditions
AT fengjiao onthegeneralizationofasolutionforaclassofintegrodifferentialequationswithnonseparatedintegralboundaryconditions
AT fangliu onthegeneralizationofasolutionforaclassofintegrodifferentialequationswithnonseparatedintegralboundaryconditions
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