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

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...

Full description

Bibliographic Details
Main Authors: Tamer Nabil, Ahmed H. Soliman
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2019/3280163
id doaj-5630430219b04c6996e850a49130f623
record_format Article
spelling doaj-5630430219b04c6996e850a49130f6232020-11-25T01:11:56ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472019-01-01201910.1155/2019/32801633280163A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential EquationsTamer Nabil0Ahmed H. Soliman1College of Science, Department of Mathematics, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi ArabiaCollege of Science, Department of Mathematics, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi ArabiaIn 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.http://dx.doi.org/10.1155/2019/3280163
collection DOAJ
language English
format Article
sources DOAJ
author Tamer Nabil
Ahmed H. Soliman
spellingShingle Tamer Nabil
Ahmed H. Soliman
A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
Mathematical Problems in Engineering
author_facet Tamer Nabil
Ahmed H. Soliman
author_sort Tamer Nabil
title A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
title_short A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
title_full A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
title_fullStr A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
title_full_unstemmed A Multidimensional Fixed-Point Theorem and Applications to Riemann-Liouville Fractional Differential Equations
title_sort multidimensional fixed-point theorem and applications to riemann-liouville fractional differential equations
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/3280163
work_keys_str_mv AT tamernabil amultidimensionalfixedpointtheoremandapplicationstoriemannliouvillefractionaldifferentialequations
AT ahmedhsoliman amultidimensionalfixedpointtheoremandapplicationstoriemannliouvillefractionaldifferentialequations
AT tamernabil multidimensionalfixedpointtheoremandapplicationstoriemannliouvillefractionaldifferentialequations
AT ahmedhsoliman multidimensionalfixedpointtheoremandapplicationstoriemannliouvillefractionaldifferentialequations
_version_ 1725168803513368576

Similar Items