文章基本信息

标题：The existence of solutions for a nonlinear mixed problem of singular fractional differential equations
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作者：Dumitru Baleanu ; Hakimeh Mohammadi ; Shahram Rezapour 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：359
DOI：10.1186/1687-1847-2013-359
语种：English
出版社：Hindawi Publishing Corporation
摘要：By using fixed point results on cones, we study the existence of solutions for the singular nonlinear fractional boundary value problem D α c u ( t ) = f ( t , u ( t ) , u ′ ( t ) , c D β u ( t ) ) , u ( 0 ) = a u ( 1 ) , u ′ ( 0 ) = b c D β u ( 1 ) , u ″ ( 0 ) = u ‴ ( 0 ) = u ( n − 1 ) ( 0 ) = 0 , where n ≥ 3 is an integer, α ∈ ( n − 1 , n ) , 0 1 α − 1 and f ( t , x , y , z ) may be singular at value 0 in one dimension of its space variables x, y, z. Here, c D stands for the Caputo fractional derivative.
关键词：boundary value problem ; fixed point ; fractional differential equation ; Green function ; regularization ; singular