2021 / March Volume 16 No.1
On Solutions of Hybrid Time Fractional Heat Problem
| Published Date |
2021 / March
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|---|---|
| Title | On Solutions of Hybrid Time Fractional Heat Problem |
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| Download | |
| Pagination | 49-62 |
| Abstract | In this research, the analytic solution of hybrid fractional differential equation with non-homogenous Dirichlet boundary conditions in one dimension is established. Since non-homogenous initial boundary value problem involves hybrid fractional order derivative, it has classical initial and boundary conditions. By means of separation of variables method and the inner product defined on $L^2[0,l]$, the solution is constructed in the form of a Fourier
series with respect to the eigenfunctions of a corresponding Sturm-Liouville. Illustrative example presents the applicability and influence of separation of variables method on fractional mathematical problems.
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| DOI | |
| AMS Subject Classification |
26A33, 65M70
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| Received |
2021-03-18
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