On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions
Abstract In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral boundary conditions. In this directio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-09-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-020-02914-4 |
| _version_ | 1818317585445289984 |
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| author | Hakimeh Mohammadi Shahram Rezapour Sina Etemad |
| author_facet | Hakimeh Mohammadi Shahram Rezapour Sina Etemad |
| author_sort | Hakimeh Mohammadi |
| collection | DOAJ |
| description | Abstract In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral boundary conditions. In this direction, we utilize some theorems due to Dhage’s fixed point results in our proofs. Finally, we demonstrate two numerical examples to confirm the validity of the main obtained results. |
| first_indexed | 2024-12-13T09:39:40Z |
| format | Article |
| id | doaj.art-c0cedf1c7e864bcb884e3fa2e5bb3d19 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-13T09:39:40Z |
| publishDate | 2020-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-c0cedf1c7e864bcb884e3fa2e5bb3d192022-12-21T23:52:13ZengSpringerOpenAdvances in Difference Equations1687-18472020-09-012020112010.1186/s13662-020-02914-4On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditionsHakimeh Mohammadi0Shahram Rezapour1Sina Etemad2Department of Mathematics, Miandoab Branch, Islamic Azad UniversityInstitute of Research and Development, Duy Tan UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract In the present research article, we find some important criteria on the existence of solutions for a class of the hybrid fractional Caputo–Hadamard differential equations and its corresponding inclusion problem supplemented with hybrid Hadamard integral boundary conditions. In this direction, we utilize some theorems due to Dhage’s fixed point results in our proofs. Finally, we demonstrate two numerical examples to confirm the validity of the main obtained results.http://link.springer.com/article/10.1186/s13662-020-02914-4Fractional hybrid integro-differential equationHadamard integralThe Dhage fixed point resultsThe fractional Caputo–Hadamard derivative |
| spellingShingle | Hakimeh Mohammadi Shahram Rezapour Sina Etemad On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions Advances in Difference Equations Fractional hybrid integro-differential equation Hadamard integral The Dhage fixed point results The fractional Caputo–Hadamard derivative |
| title | On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions |
| title_full | On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions |
| title_fullStr | On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions |
| title_full_unstemmed | On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions |
| title_short | On a hybrid fractional Caputo–Hadamard boundary value problem with hybrid Hadamard integral boundary value conditions |
| title_sort | on a hybrid fractional caputo hadamard boundary value problem with hybrid hadamard integral boundary value conditions |
| topic | Fractional hybrid integro-differential equation Hadamard integral The Dhage fixed point results The fractional Caputo–Hadamard derivative |
| url | http://link.springer.com/article/10.1186/s13662-020-02914-4 |
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