文章基本信息

标题：Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative
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作者：Bounmy Khaminsou ; Chatthai Thaiprayoon ; Jehad Alzabut 等
期刊名称：Boundary Value Problems
印刷版ISSN：1687-2762
电子版ISSN：1687-2770
出版年度：2020
卷号：2020
期号：1
页码：1-30
DOI：10.1186/s13661-020-01473-7
出版社：Hindawi Publishing Corporation
摘要：Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions. The main theorems are proved with the help of Banach’s, Krasnoselskii’s, and Schaefer’s fixed point theorems and Ulam’s approach. Finally, an example is given to demonstrate the applicability of our theoretical findings.
关键词：34A08 ; 34B10 ; 34D20