Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions
Abstract In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions. Existence and uniqueness results for the given problem are...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1222-0 |
| _version_ | 1818693585379262464 |
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| author | Bashir Ahmad Sotiris K. Ntouyas Ahmed Alsaedi |
| author_facet | Bashir Ahmad Sotiris K. Ntouyas Ahmed Alsaedi |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | Abstract In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions. Existence and uniqueness results for the given problem are derived with the aid of modern techniques of functional analysis. An example illustrating the existence of a unique solution is presented. |
| first_indexed | 2024-12-17T13:16:01Z |
| format | Article |
| id | doaj.art-bdd499a7492c4305a93891593523bf1a |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-17T13:16:01Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-bdd499a7492c4305a93891593523bf1a2022-12-21T21:47:00ZengSpringerOpenBoundary Value Problems1687-27702019-06-012019111210.1186/s13661-019-1222-0Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditionsBashir Ahmad0Sotiris K. Ntouyas1Ahmed Alsaedi2Nonlinear 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 paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupled boundary conditions. Existence and uniqueness results for the given problem are derived with the aid of modern techniques of functional analysis. An example illustrating the existence of a unique solution is presented.http://link.springer.com/article/10.1186/s13661-019-1222-0Fractional differential equationsFractional derivativeSystemsExistenceFixed point theorems |
| spellingShingle | Bashir Ahmad Sotiris K. Ntouyas Ahmed Alsaedi Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions Boundary Value Problems Fractional differential equations Fractional derivative Systems Existence Fixed point theorems |
| title | Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions |
| title_full | Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions |
| title_fullStr | Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions |
| title_full_unstemmed | Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions |
| title_short | Fractional order differential systems involving right Caputo and left Riemann–Liouville fractional derivatives with nonlocal coupled conditions |
| title_sort | fractional order differential systems involving right caputo and left riemann liouville fractional derivatives with nonlocal coupled conditions |
| topic | Fractional differential equations Fractional derivative Systems Existence Fixed point theorems |
| url | http://link.springer.com/article/10.1186/s13661-019-1222-0 |
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