A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation
We deem the time-fractional Benjamin-Ono (BO) equation out of the Riemann–Liouville (RL) derivative by applying the Lie symmetry analysis (LSA). By first using prolongation theorem to investigate its similarity vectors and then using these generators to transform the time-fractional BO equation to a...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/3456848 |
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| author | Mohamed R. Ali |
| author_facet | Mohamed R. Ali |
| author_sort | Mohamed R. Ali |
| collection | DOAJ |
| description | We deem the time-fractional Benjamin-Ono (BO) equation out of the Riemann–Liouville (RL) derivative by applying the Lie symmetry analysis (LSA). By first using prolongation theorem to investigate its similarity vectors and then using these generators to transform the time-fractional BO equation to a nonlinear ordinary differential equation (NLODE) of fractional order, we complete the solutions by utilizing the power series method (PSM). |
| format | Article |
| id | doaj-art-eac724fbfd8c47e6867ca2611f5a75a6 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-eac724fbfd8c47e6867ca2611f5a75a62025-08-20T03:20:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422019-01-01201910.1155/2019/34568483456848A Truncation Method for Solving the Time-Fractional Benjamin-Ono EquationMohamed R. Ali0Department of Mathematics, Benha Faculty of Engineering, Benha University, Benha, EgyptWe deem the time-fractional Benjamin-Ono (BO) equation out of the Riemann–Liouville (RL) derivative by applying the Lie symmetry analysis (LSA). By first using prolongation theorem to investigate its similarity vectors and then using these generators to transform the time-fractional BO equation to a nonlinear ordinary differential equation (NLODE) of fractional order, we complete the solutions by utilizing the power series method (PSM).http://dx.doi.org/10.1155/2019/3456848 |
| spellingShingle | Mohamed R. Ali A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation Journal of Applied Mathematics |
| title | A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation |
| title_full | A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation |
| title_fullStr | A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation |
| title_full_unstemmed | A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation |
| title_short | A Truncation Method for Solving the Time-Fractional Benjamin-Ono Equation |
| title_sort | truncation method for solving the time fractional benjamin ono equation |
| url | http://dx.doi.org/10.1155/2019/3456848 |
| work_keys_str_mv | AT mohamedrali atruncationmethodforsolvingthetimefractionalbenjaminonoequation AT mohamedrali truncationmethodforsolvingthetimefractionalbenjaminonoequation |