Existence solution of a system of differential equations using generalized Darbo's fixed point theorem
In this paper, we proposed a generalized of Darbo's fixed point theorem via the concept of operators S(∙;.) associated with the measure of noncompactness. Using this generalized Darbo fixed point theorem, we have given the existence of solution of a system of differential equations. At the end,...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-09-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021773?viewType=HTML |
| _version_ | 1818919839457083392 |
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| author | Rahul Nihar Kumar Mahato |
| author_facet | Rahul Nihar Kumar Mahato |
| author_sort | Rahul |
| collection | DOAJ |
| description | In this paper, we proposed a generalized of Darbo's fixed point theorem via the concept of operators S(∙;.) associated with the measure of noncompactness. Using this generalized Darbo fixed point theorem, we have given the existence of solution of a system of differential equations. At the end, we have given an example which supports our findings. |
| first_indexed | 2024-12-20T01:12:14Z |
| format | Article |
| id | doaj.art-02cc9d1f889642738afe561d5b7b6b7b |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-20T01:12:14Z |
| publishDate | 2021-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-02cc9d1f889642738afe561d5b7b6b7b2022-12-21T19:58:40ZengAIMS PressAIMS Mathematics2473-69882021-09-01612133581336910.3934/math.2021773Existence solution of a system of differential equations using generalized Darbo's fixed point theoremRahul0Nihar Kumar Mahato 1Discipline of Natural Science, PDPM Indian Institute of Information Technology, Design, and Manufacturing Jabalpur, IndiaDiscipline of Natural Science, PDPM Indian Institute of Information Technology, Design, and Manufacturing Jabalpur, IndiaIn this paper, we proposed a generalized of Darbo's fixed point theorem via the concept of operators S(∙;.) associated with the measure of noncompactness. Using this generalized Darbo fixed point theorem, we have given the existence of solution of a system of differential equations. At the end, we have given an example which supports our findings.https://www.aimspress.com/article/doi/10.3934/math.2021773?viewType=HTMLmeasure of noncompactness(mnc)triple fixed point(tfp)condensing operatordifferential equationsconcept of operators |
| spellingShingle | Rahul Nihar Kumar Mahato Existence solution of a system of differential equations using generalized Darbo's fixed point theorem AIMS Mathematics measure of noncompactness(mnc) triple fixed point(tfp) condensing operator differential equations concept of operators |
| title | Existence solution of a system of differential equations using generalized Darbo's fixed point theorem |
| title_full | Existence solution of a system of differential equations using generalized Darbo's fixed point theorem |
| title_fullStr | Existence solution of a system of differential equations using generalized Darbo's fixed point theorem |
| title_full_unstemmed | Existence solution of a system of differential equations using generalized Darbo's fixed point theorem |
| title_short | Existence solution of a system of differential equations using generalized Darbo's fixed point theorem |
| title_sort | existence solution of a system of differential equations using generalized darbo s fixed point theorem |
| topic | measure of noncompactness(mnc) triple fixed point(tfp) condensing operator differential equations concept of operators |
| url | https://www.aimspress.com/article/doi/10.3934/math.2021773?viewType=HTML |
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