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...
Main Authors: | , |
---|---|
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 |