Existence of solutions for fractional differential equations with nonlocal and average type integral boundary conditions

被引：0
作者：
Bashir Ahmad
Sotiris K. Ntouyas
Ahmed Alsaedi
机构：
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] University of Ioannina,Research Group, Department of Mathematics, Faculty of Science
来源：
Journal of Applied Mathematics and Computing | 2017年 / 53卷
关键词：
Fractional differential equation; Nonlocal; Integral condition; Existence and uniqueness; Fixed point; 34A08; 34B10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish sufficient conditions for the existence and uniqueness of solutions for a boundary value problem of fractional differential equations with nonlocal and average type integral boundary conditions. The Leray–Schauder nonlinear alternative, Krasnoselskii’s fixed point theorem and Banach’s fixed point theorem together with Hölder inequality are applied to construct proofs for the main results. Examples illustrating the obtained results are also presented.
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页码：129 / 145
页数：16
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