Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions
We study the existence of solutions for a new class of boundary value problems of arbitrary order fractional differential equations and inclusions, supplemented with integro-multistrip-multipoint boundary conditions. Suitable fixed point theorems are applied to prove some new existence results. The...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-07-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/4/3/31 |
| _version_ | 1797563217851973632 |
|---|---|
| author | Sotiris K. Ntouyas Bashir Ahmad Ahmed Alsaedi |
| author_facet | Sotiris K. Ntouyas Bashir Ahmad Ahmed Alsaedi |
| author_sort | Sotiris K. Ntouyas |
| collection | DOAJ |
| description | We study the existence of solutions for a new class of boundary value problems of arbitrary order fractional differential equations and inclusions, supplemented with integro-multistrip-multipoint boundary conditions. Suitable fixed point theorems are applied to prove some new existence results. The inclusion problem is discussed for convex valued as well as non-convex valued multi-valued map. Examples are also constructed to illustrate the main results. The results presented in this paper are not only new in the given configuration but also provide some interesting special cases. |
| first_indexed | 2024-03-10T18:40:28Z |
| format | Article |
| id | doaj.art-4bb92f349cc8474d95319f511996b75f |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T18:40:28Z |
| publishDate | 2020-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-4bb92f349cc8474d95319f511996b75f2023-11-20T05:55:00ZengMDPI AGFractal and Fractional2504-31102020-07-01433110.3390/fractalfract4030031Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary ConditionsSotiris K. Ntouyas0Bashir Ahmad1Ahmed Alsaedi2Department of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.P. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.P. Box 80203, Jeddah 21589, Saudi ArabiaWe study the existence of solutions for a new class of boundary value problems of arbitrary order fractional differential equations and inclusions, supplemented with integro-multistrip-multipoint boundary conditions. Suitable fixed point theorems are applied to prove some new existence results. The inclusion problem is discussed for convex valued as well as non-convex valued multi-valued map. Examples are also constructed to illustrate the main results. The results presented in this paper are not only new in the given configuration but also provide some interesting special cases.https://www.mdpi.com/2504-3110/4/3/31differential equation and inclusionboundary value problemfractional derivativefractional integralfixed point theoremmulti-valued map |
| spellingShingle | Sotiris K. Ntouyas Bashir Ahmad Ahmed Alsaedi Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions Fractal and Fractional differential equation and inclusion boundary value problem fractional derivative fractional integral fixed point theorem multi-valued map |
| title | Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions |
| title_full | Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions |
| title_fullStr | Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions |
| title_full_unstemmed | Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions |
| title_short | Existence Results for Fractional Order Single-Valued and Multi-Valued Problems with Integro-Multistrip-Multipoint Boundary Conditions |
| title_sort | existence results for fractional order single valued and multi valued problems with integro multistrip multipoint boundary conditions |
| topic | differential equation and inclusion boundary value problem fractional derivative fractional integral fixed point theorem multi-valued map |
| url | https://www.mdpi.com/2504-3110/4/3/31 |
| work_keys_str_mv | AT sotiriskntouyas existenceresultsforfractionalordersinglevaluedandmultivaluedproblemswithintegromultistripmultipointboundaryconditions AT bashirahmad existenceresultsforfractionalordersinglevaluedandmultivaluedproblemswithintegromultistripmultipointboundaryconditions AT ahmedalsaedi existenceresultsforfractionalordersinglevaluedandmultivaluedproblemswithintegromultistripmultipointboundaryconditions |