Analytical solution of non-linear fractional diffusion equation
Abstract In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform method. The existence and uniqueness of the solution for this problem are also derived. Further, the applicability of the model is discussed based o...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-07-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03480-z |
| _version_ | 1818620494917664768 |
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| author | Obaid Alqahtani |
| author_facet | Obaid Alqahtani |
| author_sort | Obaid Alqahtani |
| collection | DOAJ |
| description | Abstract In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform method. The existence and uniqueness of the solution for this problem are also derived. Further, the applicability of the model is discussed based on graphical results and numerical examples. |
| first_indexed | 2024-12-16T17:54:17Z |
| format | Article |
| id | doaj.art-7c28f99bf67442e0bd765f059c800d4a |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T17:54:17Z |
| publishDate | 2021-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-7c28f99bf67442e0bd765f059c800d4a2022-12-21T22:22:13ZengSpringerOpenAdvances in Difference Equations1687-18472021-07-012021111410.1186/s13662-021-03480-zAnalytical solution of non-linear fractional diffusion equationObaid Alqahtani0Department of Mathematics, King Saud UniversityAbstract In this paper, we obtain an approximate/analytical solution of nonlinear fractional diffusion equation using the q-homotopy analysis transform method. The existence and uniqueness of the solution for this problem are also derived. Further, the applicability of the model is discussed based on graphical results and numerical examples.https://doi.org/10.1186/s13662-021-03480-zFractional diffusion equationExistence and UniquenessHomotopy Perturbation method |
| spellingShingle | Obaid Alqahtani Analytical solution of non-linear fractional diffusion equation Advances in Difference Equations Fractional diffusion equation Existence and Uniqueness Homotopy Perturbation method |
| title | Analytical solution of non-linear fractional diffusion equation |
| title_full | Analytical solution of non-linear fractional diffusion equation |
| title_fullStr | Analytical solution of non-linear fractional diffusion equation |
| title_full_unstemmed | Analytical solution of non-linear fractional diffusion equation |
| title_short | Analytical solution of non-linear fractional diffusion equation |
| title_sort | analytical solution of non linear fractional diffusion equation |
| topic | Fractional diffusion equation Existence and Uniqueness Homotopy Perturbation method |
| url | https://doi.org/10.1186/s13662-021-03480-z |
| work_keys_str_mv | AT obaidalqahtani analyticalsolutionofnonlinearfractionaldiffusionequation |