Nonlocal Hadamard fractional integral conditions for nonlinear Riemann-Liouville fractional differential equations

被引：20

作者：

Tariboon, Jessada ^{[1
]}

Ntouyas, Sotiris K. ^{[2
]}

Sudsutad, Weerawat ^{[1
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Nonlinear Dynam Anal Res Ctr, Bangkok 10800, Thailand

[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

来源：

BOUNDARY VALUE PROBLEMS | 2014年

关键词：

Riemann-Liouville fractional derivative; Hadamard fractional integral; existence; uniqueness; fixed point theorems; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS;

D O I：

10.1186/s13661-014-0253-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, , , subject to the Hadamard fractional integral conditions , . Existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating the results obtained are also presented.

引用

页数：16

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