An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives
In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform met...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/5958560 |
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| _version_ | 1849306314696556544 |
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| author | Shams A. Ahmed |
| author_facet | Shams A. Ahmed |
| author_sort | Shams A. Ahmed |
| collection | DOAJ |
| description | In this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform method with the Adomian decomposition method. The fundamental concepts and findings of the recently suggested transformation are presented. For the purpose of assessing the accuracy of our approach, we provide three examples and introduce the series solutions of these equations using DCLEDM. The results show that the proposed strategy is a very effective, reliable, and efficient approach for addressing nonlinear fractional problems using the conformable derivative. |
| format | Article |
| id | doaj-art-2e4e2e5aa504455f9aa49473d0e80e46 |
| institution | Kabale University |
| issn | 1687-0042 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2e4e2e5aa504455f9aa49473d0e80e462025-08-20T03:55:07ZengWileyJournal of Applied Mathematics1687-00422024-01-01202410.1155/2024/5958560An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional DerivativesShams A. Ahmed0Department of MathematicIn this paper, an efficient new technique is used for solving nonlinear fractional problems that satisfy specific criteria. This technique is referred to as the double conformable fractional Laplace-Elzaki decomposition method (DCFLEDM). This approach combines the double Laplace-Elzaki transform method with the Adomian decomposition method. The fundamental concepts and findings of the recently suggested transformation are presented. For the purpose of assessing the accuracy of our approach, we provide three examples and introduce the series solutions of these equations using DCLEDM. The results show that the proposed strategy is a very effective, reliable, and efficient approach for addressing nonlinear fractional problems using the conformable derivative.http://dx.doi.org/10.1155/2024/5958560 |
| spellingShingle | Shams A. Ahmed An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives Journal of Applied Mathematics |
| title | An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives |
| title_full | An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives |
| title_fullStr | An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives |
| title_full_unstemmed | An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives |
| title_short | An Efficient New Technique for Solving Nonlinear Problems Involving the Conformable Fractional Derivatives |
| title_sort | efficient new technique for solving nonlinear problems involving the conformable fractional derivatives |
| url | http://dx.doi.org/10.1155/2024/5958560 |
| work_keys_str_mv | AT shamsaahmed anefficientnewtechniqueforsolvingnonlinearproblemsinvolvingtheconformablefractionalderivatives AT shamsaahmed efficientnewtechniqueforsolvingnonlinearproblemsinvolvingtheconformablefractionalderivatives |