Exact solutions of time fractional heat-like and wave-like equations with variable coefficients
In this paper, a variable-coefficient time fractional heat-like and wave-like equation with initial and boundary conditions is solved by the use of variable separation method and the properties of Mittag-Leffler function. As a result, exact solutions are obtained, from which some known spec...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
VINCA Institute of Nuclear Sciences
2016-01-01
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| Series: | Thermal Science |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-9836/2016/0354-983616689Z .pdf |
| Summary: | In this paper, a variable-coefficient time fractional heat-like and wave-like
equation with initial and boundary conditions is solved by the use of
variable separation method and the properties of Mittag-Leffler function. As
a result, exact solutions are obtained, from which some known special
solutions are recovered. It is shown that the variable separation method can
also be used to solve some others time fractional heat-like and wave-like
equation in science and engineering. |
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| ISSN: | 0354-9836 2334-7163 |