EXISTENCE RESULTS OF SOLUTIONS FOR ANTI-PERIODIC FRACTIONAL LANGEVIN EQUATION

被引：31
|
作者：
Salem, Ahmed [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 06期
关键词：
Existence solution; fractional Langevin equation; anti-periodic condition; ORDERS;
D O I：
10.11948/20190419
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, Khalili and Yadollahzadeh [9] have investigated the uniqueness and existence of solution u(t), t is an element of [0, 1] for a class of nonlocal boundary conditions to fractional Langevin equation. The authors used the boundary condition u' (0) = 0 by incorrect method. In the current contribution, we show the correct method for using this condition and study the existence and uniqueness of solution for the same class of equation in slightly different form with anti-periodic and nonlocal integral boundary conditions as well as the boundary condition u' (0) = 0. An exemplar is provided to illustrate our results.
引用
收藏
页码：2557 / 2574
页数：18
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