文章基本信息

标题：On a nonlinear fractional differential equation on partially ordered metric spaces
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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：83
DOI：10.1186/1687-1847-2013-83
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, by using a fixed point result on ordered metric spaces, we prove the existence and uniqueness of a solution of the nonlinear fractional differential equation D α u ( t ) = f ( t , u ( t ) ) ( t ∈ I = [ 0 , T ] , 0 0 and f : I × R → R is a continuous increasing function and D α c denotes the Caputo fractional derivative of order α. Also, we solve it by using the anti-periodic boundary conditions u ( 0 ) + u ( T ) = 0 with u ( 0 ) ≤ 0 and u ( 0 ) + μ u ( T ) = 0 with u ( 0 ) ≤ 0 and μ > 0 separately.
关键词：Continuous Function ; Unique Solution ; Periodic Boundary Condition ; Fractional Order ; Existence Result