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

被引：0
|
作者：
Jessada Tariboon
Sotiris K Ntouyas
Weerawat Sudsutad
机构：
[1] King Mongkut’s University of Technology North Bangkok,Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science
[2] University of Ioannina,Department of Mathematics
来源：
Boundary Value Problems | / 2014卷
关键词：
Riemann-Liouville fractional derivative; Hadamard fractional integral; existence; uniqueness; fixed point theorems;
D O I：
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学科分类号：
摘要：
In this paper, we introduce a new class of boundary value problems consisting of a fractional differential equation of Riemann-Liouville type, DqRLx(t)=f(t,x(t)), t∈[0,T], subject to the Hadamard fractional integral conditions x(0)=0, x(T)=∑i=1nαiHIpix(ηi). Existence and uniqueness results are obtained by using a variety of fixed point theorems. Examples illustrating the results obtained are also presented.
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