New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation
In this article, we address the challenge of solving the nonlinear fractional Burger’s KdV equation, time-fractional Burger’s equation, and the fractional modified Burger’s equation. This is achieved by employing the Caputo and conformable derivatives. To tackle these equations, we introduce a new n...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/1005771 |
| _version_ | 1797357971567542272 |
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| author | Ihtisham Ul Haq Ali Akgül Zahid Ullah |
| author_facet | Ihtisham Ul Haq Ali Akgül Zahid Ullah |
| author_sort | Ihtisham Ul Haq |
| collection | DOAJ |
| description | In this article, we address the challenge of solving the nonlinear fractional Burger’s KdV equation, time-fractional Burger’s equation, and the fractional modified Burger’s equation. This is achieved by employing the Caputo and conformable derivatives. To tackle these equations, we introduce a new numerical method which is the combination of the local fractional Mohand transform and the Adomian decomposition method. This choice is driven by its straightforward methodology and reduced computational complexity. Moreover, to demonstrate the versatility of this technique, we provide several illustrative examples along with their corresponding exact or approximate solutions. These solutions are accompanied by graphical representations, further enhancing the clarity of the presented approach. |
| first_indexed | 2024-03-08T14:53:21Z |
| format | Article |
| id | doaj.art-672664a9a20843419611c91f6846a2e7 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2024-03-08T14:53:21Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-672664a9a20843419611c91f6846a2e72024-01-11T00:00:10ZengHindawi LimitedJournal of Mathematics2314-47852024-01-01202410.1155/2024/1005771New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type EquationIhtisham Ul Haq0Ali Akgül1Zahid Ullah2Department of MathematicsDepartment of Computer Science and MathematicsSchool of Mathematical SciencesIn this article, we address the challenge of solving the nonlinear fractional Burger’s KdV equation, time-fractional Burger’s equation, and the fractional modified Burger’s equation. This is achieved by employing the Caputo and conformable derivatives. To tackle these equations, we introduce a new numerical method which is the combination of the local fractional Mohand transform and the Adomian decomposition method. This choice is driven by its straightforward methodology and reduced computational complexity. Moreover, to demonstrate the versatility of this technique, we provide several illustrative examples along with their corresponding exact or approximate solutions. These solutions are accompanied by graphical representations, further enhancing the clarity of the presented approach.http://dx.doi.org/10.1155/2024/1005771 |
| spellingShingle | Ihtisham Ul Haq Ali Akgül Zahid Ullah New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation Journal of Mathematics |
| title | New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation |
| title_full | New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation |
| title_fullStr | New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation |
| title_full_unstemmed | New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation |
| title_short | New Local Fractional Mohand–Adomian Decomposition Method for Solving Nonlinear Fractional Burger’s Type Equation |
| title_sort | new local fractional mohand adomian decomposition method for solving nonlinear fractional burger s type equation |
| url | http://dx.doi.org/10.1155/2024/1005771 |
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