On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations
In this work, the exact and approximate solution for generalized linear, nonlinear, and coupled systems of fractional singular M-dimensional pseudo-hyperbolic equations are examined by using the multi-dimensional Laplace Adomian decomposition method (M-DLADM). In particular, some two-dimensional ill...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/11/690 |
| _version_ | 1797465228158435328 |
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| author | Hassan Eltayeb Adem Kılıçman Imed Bachar |
| author_facet | Hassan Eltayeb Adem Kılıçman Imed Bachar |
| author_sort | Hassan Eltayeb |
| collection | DOAJ |
| description | In this work, the exact and approximate solution for generalized linear, nonlinear, and coupled systems of fractional singular M-dimensional pseudo-hyperbolic equations are examined by using the multi-dimensional Laplace Adomian decomposition method (M-DLADM). In particular, some two-dimensional illustrative examples are provided to confirm the efficiency and accuracy of the present method. |
| first_indexed | 2024-03-09T18:19:32Z |
| format | Article |
| id | doaj.art-4fd7c3a3bdbd458d9cb3fd3fcee97795 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T18:19:32Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-4fd7c3a3bdbd458d9cb3fd3fcee977952023-11-24T08:25:16ZengMDPI AGFractal and Fractional2504-31102022-11-0161169010.3390/fractalfract6110690On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic EquationsHassan Eltayeb0Adem Kılıçman1Imed Bachar2Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaMathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this work, the exact and approximate solution for generalized linear, nonlinear, and coupled systems of fractional singular M-dimensional pseudo-hyperbolic equations are examined by using the multi-dimensional Laplace Adomian decomposition method (M-DLADM). In particular, some two-dimensional illustrative examples are provided to confirm the efficiency and accuracy of the present method.https://www.mdpi.com/2504-3110/6/11/690double Laplacethree-dimensional Laplace transforms (3-DLT)inverse 3-DLTpseudo-hyperbolic equationcoupled pseudo-hyperbolic equationdecomposition methods |
| spellingShingle | Hassan Eltayeb Adem Kılıçman Imed Bachar On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations Fractal and Fractional double Laplace three-dimensional Laplace transforms (3-DLT) inverse 3-DLT pseudo-hyperbolic equation coupled pseudo-hyperbolic equation decomposition methods |
| title | On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations |
| title_full | On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations |
| title_fullStr | On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations |
| title_full_unstemmed | On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations |
| title_short | On the Application of Multi-Dimensional Laplace Decomposition Method for Solving Singular Fractional Pseudo-Hyperbolic Equations |
| title_sort | on the application of multi dimensional laplace decomposition method for solving singular fractional pseudo hyperbolic equations |
| topic | double Laplace three-dimensional Laplace transforms (3-DLT) inverse 3-DLT pseudo-hyperbolic equation coupled pseudo-hyperbolic equation decomposition methods |
| url | https://www.mdpi.com/2504-3110/6/11/690 |
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