A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions
Abstract In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mappi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03440-7 |
| _version_ | 1823939946733371392 |
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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 | Abstract In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mapping principle. Illustrative examples are also presented. |
| first_indexed | 2024-12-17T04:07:15Z |
| format | Article |
| id | doaj.art-101e8316d2b84d25a90eed9b73d77689 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-17T04:07:15Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-101e8316d2b84d25a90eed9b73d776892022-12-21T22:04:19ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021112110.1186/s13662-021-03440-7A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditionsBashir Ahmad0Soha Hamdan1Ahmed Alsaedi2Sotiris K. Ntouyas3Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz UniversityAbstract In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are established by using the Leray–Schauder alternative and Banach’s contraction mapping principle. Illustrative examples are also presented.https://doi.org/10.1186/s13662-021-03440-7Fractional differential equationsCaputo fractional derivativeSystemExistenceFixed point theorems |
| spellingShingle | Bashir Ahmad Soha Hamdan Ahmed Alsaedi Sotiris K. Ntouyas A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions Advances in Difference Equations Fractional differential equations Caputo fractional derivative System Existence Fixed point theorems |
| title | A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| title_full | A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| title_fullStr | A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| title_full_unstemmed | A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| title_short | A study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| title_sort | study of a nonlinear coupled system of three fractional differential equations with nonlocal coupled boundary conditions |
| topic | Fractional differential equations Caputo fractional derivative System Existence Fixed point theorems |
| url | https://doi.org/10.1186/s13662-021-03440-7 |
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