EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE
In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and...
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| Format: | Article |
| Language: | English |
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Universitas Udayana
2020-05-01
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| Series: | E-Jurnal Matematika |
| Online Access: | https://ojs.unud.ac.id/index.php/mtk/article/view/59770 |
| _version_ | 1818968018650136576 |
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| author | FARAJ YACOOB ISHAK |
| author_facet | FARAJ YACOOB ISHAK |
| author_sort | FARAJ YACOOB ISHAK |
| collection | DOAJ |
| description | In this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented. |
| first_indexed | 2024-12-20T13:57:53Z |
| format | Article |
| id | doaj.art-7cc8e80bc2824b579223bac923867b58 |
| institution | Directory Open Access Journal |
| issn | 2303-1751 |
| language | English |
| last_indexed | 2024-12-20T13:57:53Z |
| publishDate | 2020-05-01 |
| publisher | Universitas Udayana |
| record_format | Article |
| series | E-Jurnal Matematika |
| spelling | doaj.art-7cc8e80bc2824b579223bac923867b582022-12-21T19:38:24ZengUniversitas UdayanaE-Jurnal Matematika2303-17512020-05-019210911610.24843/MTK.2020.v09.i02.p28759770EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPEFARAJ YACOOB ISHAK0University of DuhokIn this article, we established the existence, uniqueness and stability solutions for a nonlinear system of integro-differential equations of Volterra type in Banach spaces. Krasnoselskii Fixed point theorems and Picard approximation method are the main tool used here to establish the existence and uniqueness results. A simple example of application of the main result of this paper is presented.https://ojs.unud.ac.id/index.php/mtk/article/view/59770 |
| spellingShingle | FARAJ YACOOB ISHAK EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE E-Jurnal Matematika |
| title | EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE |
| title_full | EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE |
| title_fullStr | EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE |
| title_full_unstemmed | EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE |
| title_short | EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS FOR NEW NONLINEAR SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS OF VOLTERRA TYPE |
| title_sort | existence uniqueness and stability solutions for new nonlinear system of integro differential equations of volterra type |
| url | https://ojs.unud.ac.id/index.php/mtk/article/view/59770 |
| work_keys_str_mv | AT farajyacoobishak existenceuniquenessandstabilitysolutionsfornewnonlinearsystemofintegrodifferentialequationsofvolterratype |