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A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
Journal article   Open access  Peer reviewed

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

Tamer Nabil and Ahmed H. Soliman
Mathematical problems in engineering, Vol.2019, pp.1-8
01/01/2019
DOI: https://doi.org/10.1155/2019/3280163

Abstract

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.
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https://doi.org/10.1155/2019/3280163View
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