El-Kahlout, Ahmed; Salim, Tariq O.; El-Azab, Samia Exact solution of time fractional partial differential equation. (English) Zbl 1186.26006 Appl. Math. Sci., Ruse 2, No. 49-52, 2577-2590 (2008). Summary: A time fractional partial differential equation is considered, where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along with an intermediate step of Mellin transform have been applied to achieve an exact solution in terms of the H-function and the complement error function. Cited in 1 Document MSC: 26A33 Fractional derivatives and integrals 44A20 Integral transforms of special functions 35A22 Transform methods (e.g., integral transforms) applied to PDEs Keywords:time fractional partial differential equation; Laplace transform; Mellin transform; H-function PDFBibTeX XMLCite \textit{A. El-Kahlout} et al., Appl. Math. Sci., Ruse 2, No. 49--52, 2577--2590 (2008; Zbl 1186.26006) Full Text: Link