Approximate analytic solutions of multi-dimensional fractional heat-like models with variable coefficients
In this work, the fractional power series method is applied to solve the 2-D and 3-D fractional heat-like models with variable coefficients. The fractional derivatives are described in the Liouville-Caputo sense. The analytical approximate solutions and exact solutions for the 2-D and 3-D fractional...
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| Veröffentlicht in: | Thermal science 2019, Vol.23 (6 Part B), p.3725-3729 |
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| creator | Sun, Jianshe |
| description | In this work, the fractional power series method is applied to solve the 2-D and 3-D fractional heat-like models with variable coefficients. The fractional derivatives are described in the Liouville-Caputo sense. The analytical approximate solutions and exact solutions for the 2-D and 3-D fractional heat-like models with variable coefficients are obtained. It is shown that the proposed method provides a very effective, convenient and powerful mathematical tool for solving fractional differential equations in mathematical physics.
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| doi_str_mv | 10.2298/TSCI180612256S |
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| source | EZB-FREE-00999 freely available EZB journals; Free Full-Text Journals in Chemistry |
| subjects | Coefficients Differential equations Exact solutions Mathematical models Power series Three dimensional models Two dimensional models |
| title | Approximate analytic solutions of multi-dimensional fractional heat-like models with variable coefficients |
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