Some Existence Results for a System of Nonlinear Fractional Differential Equations
In this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/4786053 |
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| _version_ | 1832554056226177024 |
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| author | Eskandar Ameer Hassen Aydi Hüseyin Işık Muhammad Nazam Vahid Parvaneh Muhammad Arshad |
| author_facet | Eskandar Ameer Hassen Aydi Hüseyin Işık Muhammad Nazam Vahid Parvaneh Muhammad Arshad |
| author_sort | Eskandar Ameer |
| collection | DOAJ |
| description | In this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given. |
| format | Article |
| id | doaj-art-fb553f7aec9e45a49f8d080fe3759107 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fb553f7aec9e45a49f8d080fe37591072025-02-03T05:52:31ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/47860534786053Some Existence Results for a System of Nonlinear Fractional Differential EquationsEskandar Ameer0Hassen Aydi1Hüseyin Işık2Muhammad Nazam3Vahid Parvaneh4Muhammad Arshad5Department of Mathematics, Taiz University, Taiz, YemenUniversité de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, TunisiaDepartment of Mathematics, Muş Alparslan University, Muş 49250, TurkeyDepartment of Mathematics, Allama Iqbal Open University, H-8, Islamabad, PakistanDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranDepartment of Mathematics and Statistics, International Islamic University, Islamabad, PakistanIn this paper, we show that a sequence satisfying a Suzuki-type JS-rational contraction or a generalized Suzuki-type Ćirić JS-contraction, under some conditions, is a Cauchy sequence. This paper presents some common fixed point theorems and an application to resolve a system of nonlinear fractional differential equations. Some examples and consequences are also given.http://dx.doi.org/10.1155/2020/4786053 |
| spellingShingle | Eskandar Ameer Hassen Aydi Hüseyin Işık Muhammad Nazam Vahid Parvaneh Muhammad Arshad Some Existence Results for a System of Nonlinear Fractional Differential Equations Journal of Mathematics |
| title | Some Existence Results for a System of Nonlinear Fractional Differential Equations |
| title_full | Some Existence Results for a System of Nonlinear Fractional Differential Equations |
| title_fullStr | Some Existence Results for a System of Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Some Existence Results for a System of Nonlinear Fractional Differential Equations |
| title_short | Some Existence Results for a System of Nonlinear Fractional Differential Equations |
| title_sort | some existence results for a system of nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2020/4786053 |
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