Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation
This study examines the existence and uniqueness of the solution to the coupled system of the ψ-Hilfer nonlinear implicit fractional multipoint boundary value problem. The uniqueness is shown by the Banach contraction principle, and the existence is shown by Krasnosel’skii’s fixed point theorem in...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2023-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/33474 |
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| _version_ | 1850234864143433728 |
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| author | Muthukrishnan Latha Maheswari Kolathur Srinivasan Keerthana Shri Elsayed M. Elsayed |
| author_facet | Muthukrishnan Latha Maheswari Kolathur Srinivasan Keerthana Shri Elsayed M. Elsayed |
| author_sort | Muthukrishnan Latha Maheswari |
| collection | DOAJ |
| description |
This study examines the existence and uniqueness of the solution to the coupled system of the ψ-Hilfer nonlinear implicit fractional multipoint boundary value problem. The uniqueness is shown by the Banach contraction principle, and the existence is shown by Krasnosel’skii’s fixed point theorem in a special working space. An example is presented to verify our results. The existence and uniqueness of the solution are analysed graphically.
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| format | Article |
| id | doaj-art-c2fbf4b0efb84ca7a285bcb7fa85cc27 |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-c2fbf4b0efb84ca7a285bcb7fa85cc272025-08-20T02:02:29ZengVilnius University PressNonlinear Analysis1392-51132335-89632023-10-0128610.15388/namc.2023.28.33474Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equationMuthukrishnan Latha Maheswari0Kolathur Srinivasan Keerthana Shri1https://orcid.org/0000-0002-5128-0247Elsayed M. Elsayed2https://orcid.org/0000-0003-0894-8472PSG College of Arts & SciencePSG College of Arts & ScienceKing AbdulAziz University This study examines the existence and uniqueness of the solution to the coupled system of the ψ-Hilfer nonlinear implicit fractional multipoint boundary value problem. The uniqueness is shown by the Banach contraction principle, and the existence is shown by Krasnosel’skii’s fixed point theorem in a special working space. An example is presented to verify our results. The existence and uniqueness of the solution are analysed graphically. https://www.journals.vu.lt/nonlinear-analysis/article/view/33474existencefixed point techniquemultipoint boundary value problempsi-Hilfer fractional derivative |
| spellingShingle | Muthukrishnan Latha Maheswari Kolathur Srinivasan Keerthana Shri Elsayed M. Elsayed Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation Nonlinear Analysis existence fixed point technique multipoint boundary value problem psi-Hilfer fractional derivative |
| title | Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation |
| title_full | Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation |
| title_fullStr | Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation |
| title_full_unstemmed | Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation |
| title_short | Multipoint boundary value problem for a coupled system of psi-Hilfer nonlinear implicit fractional differential equation |
| title_sort | multipoint boundary value problem for a coupled system of psi hilfer nonlinear implicit fractional differential equation |
| topic | existence fixed point technique multipoint boundary value problem psi-Hilfer fractional derivative |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/33474 |
| work_keys_str_mv | AT muthukrishnanlathamaheswari multipointboundaryvalueproblemforacoupledsystemofpsihilfernonlinearimplicitfractionaldifferentialequation AT kolathursrinivasankeerthanashri multipointboundaryvalueproblemforacoupledsystemofpsihilfernonlinearimplicitfractionaldifferentialequation AT elsayedmelsayed multipointboundaryvalueproblemforacoupledsystemofpsihilfernonlinearimplicitfractionaldifferentialequation |