On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations
This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions. The applied fractional derivatives work as the nonlocal and nonsingular kernel. Upon usin...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1812445 |
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| _version_ | 1850208586513252352 |
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| author | Mohammed A. Almalahi Satish K. Panchal Mohammed S. Abdo Fahd Jarad |
| author_facet | Mohammed A. Almalahi Satish K. Panchal Mohammed S. Abdo Fahd Jarad |
| author_sort | Mohammed A. Almalahi |
| collection | DOAJ |
| description | This research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions. The applied fractional derivatives work as the nonlocal and nonsingular kernel. Upon using Krasnoselskii’s and Banach’s fixed point techniques, we establish the existence and uniqueness of solutions for proposed problems. Moreover, the Ulam–Hyers stability theory is constructed by using nonlinear analysis. Eventually, we provide two interesting examples to illustrate the effectiveness of our acquired results. |
| format | Article |
| id | doaj-art-9648fb14db0b4632afd8b5da2d2da041 |
| institution | OA Journals |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-9648fb14db0b4632afd8b5da2d2da0412025-08-20T02:10:13ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1812445On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential EquationsMohammed A. Almalahi0Satish K. Panchal1Mohammed S. Abdo2Fahd Jarad3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis research paper is devoted to investigating two classes of boundary value problems for nonlinear Atangana–Baleanu-type fractional differential equations with Atangana–Baleanu fractional integral conditions. The applied fractional derivatives work as the nonlocal and nonsingular kernel. Upon using Krasnoselskii’s and Banach’s fixed point techniques, we establish the existence and uniqueness of solutions for proposed problems. Moreover, the Ulam–Hyers stability theory is constructed by using nonlinear analysis. Eventually, we provide two interesting examples to illustrate the effectiveness of our acquired results.http://dx.doi.org/10.1155/2022/1812445 |
| spellingShingle | Mohammed A. Almalahi Satish K. Panchal Mohammed S. Abdo Fahd Jarad On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations Journal of Function Spaces |
| title | On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations |
| title_full | On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations |
| title_fullStr | On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations |
| title_full_unstemmed | On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations |
| title_short | On Atangana–Baleanu-Type Nonlocal Boundary Fractional Differential Equations |
| title_sort | on atangana baleanu type nonlocal boundary fractional differential equations |
| url | http://dx.doi.org/10.1155/2022/1812445 |
| work_keys_str_mv | AT mohammedaalmalahi onatanganabaleanutypenonlocalboundaryfractionaldifferentialequations AT satishkpanchal onatanganabaleanutypenonlocalboundaryfractionaldifferentialequations AT mohammedsabdo onatanganabaleanutypenonlocalboundaryfractionaldifferentialequations AT fahdjarad onatanganabaleanutypenonlocalboundaryfractionaldifferentialequations |