Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions
In this paper, we studied the existence of solutions for a coupled system of nonlinear sequential proportional $ \psi $-Hilfer fractional differential equations with multi-point boundary conditions. By using a Burton's version of the Krasnosel'ski$\breve{{\rm{i}}}$'s fixed-point theor...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2024633?viewType=HTML |
| _version_ | 1797201308109766656 |
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| author | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Ayub Samadi |
| collection | DOAJ |
| description | In this paper, we studied the existence of solutions for a coupled system of nonlinear sequential proportional $ \psi $-Hilfer fractional differential equations with multi-point boundary conditions. By using a Burton's version of the Krasnosel'ski$\breve{{\rm{i}}}$'s fixed-point theorem we established sufficient conditions for the existence result. An example illustrating our main result was also provided. |
| first_indexed | 2024-04-24T07:45:28Z |
| format | Article |
| id | doaj.art-2e8259fdc3c342daa336187844d91541 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-24T07:45:28Z |
| publishDate | 2024-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-2e8259fdc3c342daa336187844d915412024-04-19T01:29:01ZengAIMS PressAIMS Mathematics2473-69882024-04-0195129821300510.3934/math.2024633Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditionsAyub Samadi0Sotiris K. Ntouyas1 Jessada Tariboon21. Department of Mathematics, Miyaneh Branch, Islamic Azad University, Miyaneh 5315836511, Iran2. Department of Mathematics, University of Ioannina, Ioannina 45110, Greece3. Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, ThailandIn this paper, we studied the existence of solutions for a coupled system of nonlinear sequential proportional $ \psi $-Hilfer fractional differential equations with multi-point boundary conditions. By using a Burton's version of the Krasnosel'ski$\breve{{\rm{i}}}$'s fixed-point theorem we established sufficient conditions for the existence result. An example illustrating our main result was also provided.https://www.aimspress.com/article/doi/10.3934/math.2024633?viewType=HTMLcoupled systemhilfer fractional proportional derivativemulti-point boundary conditionsfixed-point theorem |
| spellingShingle | Ayub Samadi Sotiris K. Ntouyas Jessada Tariboon Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions AIMS Mathematics coupled system hilfer fractional proportional derivative multi-point boundary conditions fixed-point theorem |
| title | Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions |
| title_full | Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions |
| title_fullStr | Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions |
| title_full_unstemmed | Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions |
| title_short | Coupled systems of nonlinear sequential proportional Hilfer-type fractional differential equations with multi-point boundary conditions |
| title_sort | coupled systems of nonlinear sequential proportional hilfer type fractional differential equations with multi point boundary conditions |
| topic | coupled system hilfer fractional proportional derivative multi-point boundary conditions fixed-point theorem |
| url | https://www.aimspress.com/article/doi/10.3934/math.2024633?viewType=HTML |
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