Laplace transform for solving some families of fractional differential equations and its applications
β Scribed by Shy-Der Lin, Chia-Hung Lu
- Book ID
- 120735891
- Publisher
- Springer International Publishing AG
- Year
- 2013
- Tongue
- English
- Weight
- 173 KB
- Volume
- 2013
- Category
- Article
- ISSN
- 1687-1839
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Our paper is devoted to investigation of partial differential equations of fractional order. We give a historical survey of results in this field basically concerning differential equations with Riemann-Liouville and Caputo partial fractional derivatives. We pay a special attention to application of
In this paper, the Laplace decomposition method is employed to obtain approximate analytical solutions of the linear and nonlinear fractional diffusion-wave equations. This method is a combined form of the Laplace transform method and the Adomian decomposition method. The proposed scheme finds the s