On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions
This paper deals with the existence of solutions for a new boundary value problem involving mixed generalized fractional derivatives of Riemann-Liouville and Caputo supplemented with nonlocal multipoint boundary conditions. The existence results for inclusion case are also discussed. The nonlinear t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3102142 |
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| _version_ | 1832551701627797504 |
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| author | Wafa Shammakh Hadeel Z. Alzumi Bushra A. AlQahtani |
| author_facet | Wafa Shammakh Hadeel Z. Alzumi Bushra A. AlQahtani |
| author_sort | Wafa Shammakh |
| collection | DOAJ |
| description | This paper deals with the existence of solutions for a new boundary value problem involving mixed generalized fractional derivatives of Riemann-Liouville and Caputo supplemented with nonlocal multipoint boundary conditions. The existence results for inclusion case are also discussed. The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point. Ulam stability is also presented. We provide some examples that well-illustrate our main results. |
| format | Article |
| id | doaj-art-cb2fbe1730174220ab32237060cb81a7 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-cb2fbe1730174220ab32237060cb81a72025-02-03T06:00:49ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/31021423102142On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary ConditionsWafa Shammakh0Hadeel Z. Alzumi1Bushra A. AlQahtani2Mathematics Department, Faculty of Science, University of Jeddah, Saudi ArabiaMathematics Department, Faculty of Science, University of Jeddah, Saudi ArabiaMathematics Department, Faculty of Science, University of Jeddah, Saudi ArabiaThis paper deals with the existence of solutions for a new boundary value problem involving mixed generalized fractional derivatives of Riemann-Liouville and Caputo supplemented with nonlocal multipoint boundary conditions. The existence results for inclusion case are also discussed. The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point. Ulam stability is also presented. We provide some examples that well-illustrate our main results.http://dx.doi.org/10.1155/2020/3102142 |
| spellingShingle | Wafa Shammakh Hadeel Z. Alzumi Bushra A. AlQahtani On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions Journal of Function Spaces |
| title | On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions |
| title_full | On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions |
| title_fullStr | On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions |
| title_full_unstemmed | On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions |
| title_short | On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions |
| title_sort | on more general fractional differential equations involving mixed generalized derivatives with nonlocal multipoint and generalized fractional integral boundary conditions |
| url | http://dx.doi.org/10.1155/2020/3102142 |
| work_keys_str_mv | AT wafashammakh onmoregeneralfractionaldifferentialequationsinvolvingmixedgeneralizedderivativeswithnonlocalmultipointandgeneralizedfractionalintegralboundaryconditions AT hadeelzalzumi onmoregeneralfractionaldifferentialequationsinvolvingmixedgeneralizedderivativeswithnonlocalmultipointandgeneralizedfractionalintegralboundaryconditions AT bushraaalqahtani onmoregeneralfractionaldifferentialequationsinvolvingmixedgeneralizedderivativeswithnonlocalmultipointandgeneralizedfractionalintegralboundaryconditions |