On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions
In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’ski<inline-formula><math display="inline"><...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-10-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/11/1899 |
| _version_ | 1797549188748148736 |
|---|---|
| author | Ahmed Alsaedi Amjad F. Albideewi Sotiris K. Ntouyas Bashir Ahmad |
| author_facet | Ahmed Alsaedi Amjad F. Albideewi Sotiris K. Ntouyas Bashir Ahmad |
| author_sort | Ahmed Alsaedi |
| collection | DOAJ |
| description | In this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’ski<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="normal">i</mi><mo stretchy="false">⏝</mo></mover></mrow></semantics></math></inline-formula>’s fixed point theorems. Examples are included for the illustration of the obtained results. |
| first_indexed | 2024-03-10T15:11:11Z |
| format | Article |
| id | doaj.art-a6a77c7e8f464061a1911d4f02acc570 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T15:11:11Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a6a77c7e8f464061a1911d4f02acc5702023-11-20T19:19:25ZengMDPI AGMathematics2227-73902020-10-01811189910.3390/math8111899On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary ConditionsAhmed Alsaedi0Amjad F. Albideewi1Sotiris K. Ntouyas2Bashir Ahmad3Nonlinear 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 ArabiaIn this paper, we derive existence and uniqueness results for a nonlinear Caputo–Riemann–Liouville type fractional integro-differential boundary value problem with multi-point sub-strip boundary conditions, via Banach and Krasnosel’ski<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi mathvariant="normal">i</mi><mo stretchy="false">⏝</mo></mover></mrow></semantics></math></inline-formula>’s fixed point theorems. Examples are included for the illustration of the obtained results.https://www.mdpi.com/2227-7390/8/11/1899Caputo derivativeRiemann–Liouville integralmultipoint and sub-strip boundary conditionsexistencefixed point theorem |
| spellingShingle | Ahmed Alsaedi Amjad F. Albideewi Sotiris K. Ntouyas Bashir Ahmad On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions Mathematics Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions existence fixed point theorem |
| title | On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions |
| title_full | On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions |
| title_fullStr | On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions |
| title_full_unstemmed | On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions |
| title_short | On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions |
| title_sort | on caputo riemann liouville type fractional integro differential equations with multi point sub strip boundary conditions |
| topic | Caputo derivative Riemann–Liouville integral multipoint and sub-strip boundary conditions existence fixed point theorem |
| url | https://www.mdpi.com/2227-7390/8/11/1899 |
| work_keys_str_mv | AT ahmedalsaedi oncaputoriemannliouvilletypefractionalintegrodifferentialequationswithmultipointsubstripboundaryconditions AT amjadfalbideewi oncaputoriemannliouvilletypefractionalintegrodifferentialequationswithmultipointsubstripboundaryconditions AT sotiriskntouyas oncaputoriemannliouvilletypefractionalintegrodifferentialequationswithmultipointsubstripboundaryconditions AT bashirahmad oncaputoriemannliouvilletypefractionalintegrodifferentialequationswithmultipointsubstripboundaryconditions |