On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions
We present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are w...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-04-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021343?viewType=HTML |
| _version_ | 1818648177234935808 |
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| author | Bashir Ahmad Soha Hamdan Ahmed Alsaedi Sotiris K. Ntouyas |
| author_facet | Bashir Ahmad Soha Hamdan Ahmed Alsaedi Sotiris K. Ntouyas |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | We present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are well-illustrated by numerical examples. A variant problem dealing with the case of nonlinearities depending on the cross-variables (unknown functions) is also briefly described. |
| first_indexed | 2024-12-17T01:14:17Z |
| format | Article |
| id | doaj.art-d30ebf0dc0a442cf8c6c617d6121483d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-17T01:14:17Z |
| publishDate | 2021-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-d30ebf0dc0a442cf8c6c617d6121483d2022-12-21T22:09:03ZengAIMS PressAIMS Mathematics2473-69882021-04-01665801581610.3934/math.2021343On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditionsBashir Ahmad 0Soha Hamdan1Ahmed Alsaedi2Sotiris K. Ntouyas31. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia 2. Department of Mathematics, University of Ioannina, 45110, Ioannina, GreeceWe present the criteria for the existence of solutions for a nonlinear mixed-order coupled fractional differential system equipped with a new set of integral boundary conditions on an arbitrary domain. The modern tools of the fixed point theory are employed to obtain the desired results, which are well-illustrated by numerical examples. A variant problem dealing with the case of nonlinearities depending on the cross-variables (unknown functions) is also briefly described.http://www.aimspress.com/article/doi/10.3934/math.2021343?viewType=HTMLfractional differential equationscaputo fractional derivativesystemsexistencefixed point theorems |
| spellingShingle | Bashir Ahmad Soha Hamdan Ahmed Alsaedi Sotiris K. Ntouyas On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions AIMS Mathematics fractional differential equations caputo fractional derivative systems existence fixed point theorems |
| title | On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions |
| title_full | On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions |
| title_fullStr | On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions |
| title_full_unstemmed | On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions |
| title_short | On a nonlinear mixed-order coupled fractional differential system with new integral boundary conditions |
| title_sort | on a nonlinear mixed order coupled fractional differential system with new integral boundary conditions |
| topic | fractional differential equations caputo fractional derivative systems existence fixed point theorems |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021343?viewType=HTML |
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