文章基本信息

标题：Fractional order differential equations with iterations of linear modification of the argument
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作者：JinRong Wang ; JianHua Deng
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：329
DOI：10.1186/1687-1847-2013-329
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we apply Picard operator theory to investigate a class of fractional differential equations with iterations of linear modification of the argument. For that, two useful work spaces C L ( J , J ) and C L , θ ( J , J ) with three powerful norms ∥ ⋅ ∥ B , ∥ ⋅ ∥ β and ∥ ⋅ ∥ C are used, respectively. Some existence and uniqueness results are presented. Here, we introduce a new norm ∥ ⋅ ∥ β and give another direct way to deal with the iterative term in the nonlinear term, which can be regarded as the main novelty in this paper. MSC:26A33, 34A12, 47H10.
关键词：fractional order differential equations ; iterations ; existence ; Picard operator