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Numerical method in reproducing kernel space for an inverse source problem for the fractional diffusion equation

✍ Scribed by Wang, Wenyan; Yamamoto, Masahiro; Han, Bo

Book ID
120940799
Publisher
Institute of Physics
Year
2013
Tongue
English
Weight
651 KB
Volume
29
Category
Article
ISSN
0266-5611

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Representation of exact solution for the
Representation of exact solution for the time-fractional telegraph equation in the reproducing kernel space
✍ Wei Jiang; Yingzhen Lin πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 210 KB

The reproducing kernel theorem is used to solve the time-fractional telegraph equation with Robin boundary value conditions. The time-fractional derivative is considered in the Caputo sense. We discuss and derive the exact solution in the form of series with easily computable terms in the reproducin