On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions
Abstract We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying the Leray–Schauder nonlinear alterna...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-11-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-019-2412-x |
| _version_ | 1818244398286110720 |
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| author | Ahmed Alsaedi Bashir Ahmad Ymnah Alruwaily Sotiris K. Ntouyas |
| author_facet | Ahmed Alsaedi Bashir Ahmad Ymnah Alruwaily Sotiris K. Ntouyas |
| author_sort | Ahmed Alsaedi |
| collection | DOAJ |
| description | Abstract We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying the Leray–Schauder nonlinear alternative, the Krasnoselskii fixed point theorem and Banach’s contraction mapping principle. Examples are constructed to illustrate the obtained results. |
| first_indexed | 2024-12-12T14:16:23Z |
| format | Article |
| id | doaj.art-3f3c1911035944a9bff46a7cd0d64007 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T14:16:23Z |
| publishDate | 2019-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-3f3c1911035944a9bff46a7cd0d640072022-12-22T00:21:54ZengSpringerOpenAdvances in Difference Equations1687-18472019-11-012019111910.1186/s13662-019-2412-xOn a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditionsAhmed Alsaedi0Bashir Ahmad1Ymnah Alruwaily2Sotiris 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 We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying the Leray–Schauder nonlinear alternative, the Krasnoselskii fixed point theorem and Banach’s contraction mapping principle. Examples are constructed to illustrate the obtained results.http://link.springer.com/article/10.1186/s13662-019-2412-xCaputo derivativeSystemRiemann–Stieltjes integralMultipoint boundary conditionsExistence |
| spellingShingle | Ahmed Alsaedi Bashir Ahmad Ymnah Alruwaily Sotiris K. Ntouyas On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions Advances in Difference Equations Caputo derivative System Riemann–Stieltjes integral Multipoint boundary conditions Existence |
| title | On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions |
| title_full | On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions |
| title_fullStr | On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions |
| title_full_unstemmed | On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions |
| title_short | On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions |
| title_sort | on a coupled system of higher order nonlinear caputo fractional differential equations with coupled riemann stieltjes type integro multipoint boundary conditions |
| topic | Caputo derivative System Riemann–Stieltjes integral Multipoint boundary conditions Existence |
| url | http://link.springer.com/article/10.1186/s13662-019-2412-x |
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