A singular boundary value problem for nonlinear differential equations of fractional order

被引：55
作者：
Kosmatov N. [1 ]
机构：
[1] Department of Mathematics and Statistics, University of Arkansas at Little Rock, Little Rock
来源：
Journal of Applied Mathematics and Computing | 2009年 / 29卷 / 1-2期
关键词：
A priori estimate; Carathéodory conditions; Leray-Schauder Continuation Principle; Riemann-Liouville derivative;
D O I：
10.1007/s12190-008-0104-x
中图分类号：
学科分类号：
摘要：
We are concerned with the nonlinear differential equation of fractional order Dα0+u(t)=f(t,u(t),u'(t)), a.,e. t ∈ (0,1), where Dα0+ is the Riemann-Liouville fractional order derivative, subject to the boundary conditions u(0)=u(1)=0. We obtain the existence of at least one solution using the Leray-Schauder Continuation Principle.
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页码：125 / 135
页数：10
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