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
Solution of Semi-Boundless Mixed Problem for Time-fractional Telegraph Equation
β Scribed by Shu-qin Zhang
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2007
- Tongue
- English
- Weight
- 135 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0168-9673
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This paper deals with the construction of continuous numerical solutions of mixed problems described by the timsdependent telegraph equation utt + c(t)ut + b(t)u = a(t)u,,, 0 < 2 < d, t > 0. Here a(t), b(t), and c(t) are positive functions with appropiate additional alternative hypotheses. First, us
## Abstract We investigate the existence of positive solutions to the singular fractional boundary value problem: \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$^c\hspace{-1.0pt}D^{\alpha }u +f(t,u,u^{\prime },^c\hspace{-2.0pt}D^{\mu }u)=0$\end{document}, __u__β²(0) = 0