Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations
The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existenc...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2024/5595720 |
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| _version_ | 1832546802034802688 |
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| author | Zoubida Bouazza Mohammed Said Souid Hatıra Günerhan Ali Shokri |
| author_facet | Zoubida Bouazza Mohammed Said Souid Hatıra Günerhan Ali Shokri |
| author_sort | Zoubida Bouazza |
| collection | DOAJ |
| description | The problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example. |
| format | Article |
| id | doaj-art-5034b34bf26148fbb49a0ab563840c54 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5034b34bf26148fbb49a0ab563840c542025-02-03T06:47:12ZengWileyComplexity1099-05262024-01-01202410.1155/2024/5595720Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential EquationsZoubida Bouazza0Mohammed Said Souid1Hatıra Günerhan2Ali Shokri3Department of InformaticsDepartment of Economic SciencesDepartment of MathematicsDepartment of MathematicsThe problem of boundary values for implicit differential equations with nonlinear fractions involving the variable order and the Riemann–Liouville derivative is examined in this article along with its existence and stability. Specifically, the locally solvability, which is equivalent to the existence of solutions, is related to the symmetry of a transformation of a nonlinear equations system. To demonstrate the reliability of the found results, we design an example.http://dx.doi.org/10.1155/2024/5595720 |
| spellingShingle | Zoubida Bouazza Mohammed Said Souid Hatıra Günerhan Ali Shokri Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations Complexity |
| title | Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations |
| title_full | Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations |
| title_fullStr | Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations |
| title_full_unstemmed | Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations |
| title_short | Problem Involving the Riemann–Liouville Derivative and Implicit Variable-Order Nonlinear Fractional Differential Equations |
| title_sort | problem involving the riemann liouville derivative and implicit variable order nonlinear fractional differential equations |
| url | http://dx.doi.org/10.1155/2024/5595720 |
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