Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de La Frontera
2021-08-01
|
| Series: | Cubo |
| Subjects: | |
| Online Access: | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084 |
| _version_ | 1831566494859788288 |
|---|---|
| author | Bashir Ahmad Amjad F. Albideewi Sotiris K. Ntouyas Ahmed Alsaedi |
| author_facet | Bashir Ahmad Amjad F. Albideewi Sotiris K. Ntouyas Ahmed Alsaedi |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed. |
| first_indexed | 2024-12-17T11:43:53Z |
| format | Article |
| id | doaj.art-d0e1a0a5678e4e3db8839b51da4d04f0 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-12-17T11:43:53Z |
| publishDate | 2021-08-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-d0e1a0a5678e4e3db8839b51da4d04f02022-12-21T21:50:28ZengUniversidad de La FronteraCubo0716-77760719-06462021-08-0123222523710.4067/S0719-06462021000200225Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equationsBashir Ahmad0https://orcid.org/0000-0001-5350-2977Amjad F. Albideewi1https://orcid.org/0000-0001-5793-6756Sotiris K. Ntouyas2https://orcid.org/0000-0002-7695-2118Ahmed Alsaedi3https://orcid.org/0000-0003-3452-8922Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.University of Ioannina, 451 10 Ioannina, Greece – Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084hadamard fractional integralhadamard fractional derivativemulti-point boundary conditionsexistencefixed point theorems |
| spellingShingle | Bashir Ahmad Amjad F. Albideewi Sotiris K. Ntouyas Ahmed Alsaedi Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations Cubo hadamard fractional integral hadamard fractional derivative multi-point boundary conditions existence fixed point theorems |
| title | Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations |
| title_full | Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations |
| title_fullStr | Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations |
| title_full_unstemmed | Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations |
| title_short | Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations |
| title_sort | existence results for a multipoint boundary value problem of nonlinear sequential hadamard fractional differential equations |
| topic | hadamard fractional integral hadamard fractional derivative multi-point boundary conditions existence fixed point theorems |
| url | http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084 |
| work_keys_str_mv | AT bashirahmad existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations AT amjadfalbideewi existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations AT sotiriskntouyas existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations AT ahmedalsaedi existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations |