A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations

In this work, we introduce a new version of Krasnoselskii fixed-point theorem dealing with N-tupled fixed-point results under certain blended conditions. Herein, we demonstrate that our newly theoretical results are applied to the investigation of Riemann-Liouville fractional differential equations...

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Bibliographic Details
Published in:Mathematical problems in engineering 2019-01, Vol.2019 (2019), p.1-8
Main Authors: Nabil, Tamer, Soliman, Ahmed H.
Format: Article
Language:English
Subjects:
Differential equations
Engineering
Fixed points (mathematics)
Mathematical analysis
Theorems
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Summary:In this work, we introduce a new version of Krasnoselskii fixed-point theorem dealing with N-tupled fixed-point results under certain blended conditions. Herein, we demonstrate that our newly theoretical results are applied to the investigation of Riemann-Liouville fractional differential equations (R-L FDEs for short). Furthermore, an example to illustrate the abstract results is obtained.
ISSN:1024-123X
1563-5147
DOI:10.1155/2019/3280163