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

Xing Yanyuan; Jiao Feng; Liu Fang

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

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

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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.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第9期|8679465.1-8679465.13|共13页
作者
Xing Yanyuan; Jiao Feng; Liu Fang;
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Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China|Luliang Univ, Dept Math, Luliang 033000, Shanxi, Peoples R China;

Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China;

Luliang Univ, Dept Math, Luliang 033000, Shanxi, Peoples R China;

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

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