Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions

被引：28

作者：

Ahmad B. ^{[1
]}

Ntouyas S.K. ^{[2
]}

Assolami A. ^{[1
]}

机构：

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589

[2] Department of Mathematics, University of Ioannina

来源：

Journal of Applied Mathematics and Computing | 2013年 / 41卷 / 1-2期

关键词：

Existence; Fixed point theorems; Fractional differential equations; Nonlocal integral boundary conditions;

D O I：

10.1007/s12190-012-0610-8

中图分类号：

学科分类号：

摘要：

This paper investigates the existence and uniqueness of solutions for a fractional boundary value problem involving four-point nonlocal Riemann-Liouville integral boundary conditions of different order. Our results are based on standard tools of fixed point theory and Leray-Schauder nonlinear alternative. Some illustrative examples are also discussed. © 2012 Korean Society for Computational and Applied Mathematics.

引用

页码：339 / 350

页数：11

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