Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions
We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain. Modern tools of functional analysis are applied to obtain the main results. Exam...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/7/3/249 |
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| author | Bashir Ahmad Ymnah Alruwaily Ahmed Alsaedi Sotiris K. Ntouyas |
| author_facet | Bashir Ahmad Ymnah Alruwaily Ahmed Alsaedi Sotiris K. Ntouyas |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain. Modern tools of functional analysis are applied to obtain the main results. Examples are constructed for the illustration of the derived results. We also investigate different kinds of Ulam stability, such as Ulam-Hyers stability, generalized Ulam-Hyers stability, and Ulam-Hyers-Rassias stability for the problem at hand. |
| first_indexed | 2024-12-22T06:15:12Z |
| format | Article |
| id | doaj.art-8b0135d844e3432fb485459a833138e6 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-22T06:15:12Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-8b0135d844e3432fb485459a833138e62022-12-21T18:36:08ZengMDPI AGMathematics2227-73902019-03-017324910.3390/math7030249math7030249Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary ConditionsBashir Ahmad0Ymnah Alruwaily1Ahmed Alsaedi2Sotiris K. Ntouyas3Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain. Modern tools of functional analysis are applied to obtain the main results. Examples are constructed for the illustration of the derived results. We also investigate different kinds of Ulam stability, such as Ulam-Hyers stability, generalized Ulam-Hyers stability, and Ulam-Hyers-Rassias stability for the problem at hand.http://www.mdpi.com/2227-7390/7/3/249Caputo fractional derivativenonlocalintegro-multipoint boundary conditionsexistenceuniquenessUlam-Hyers stability |
| spellingShingle | Bashir Ahmad Ymnah Alruwaily Ahmed Alsaedi Sotiris K. Ntouyas Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions Mathematics Caputo fractional derivative nonlocal integro-multipoint boundary conditions existence uniqueness Ulam-Hyers stability |
| title | Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions |
| title_full | Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions |
| title_fullStr | Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions |
| title_full_unstemmed | Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions |
| title_short | Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions |
| title_sort | existence and stability results for a fractional order differential equation with non conjugate riemann stieltjes integro multipoint boundary conditions |
| topic | Caputo fractional derivative nonlocal integro-multipoint boundary conditions existence uniqueness Ulam-Hyers stability |
| url | http://www.mdpi.com/2227-7390/7/3/249 |
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