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Sumudu transform iteration method for fractional diffusion-wave equations | ||
Journal of Hyperstructures | ||
دوره 4، شماره 2، اسفند 2015، صفحه 156-159 اصل مقاله (1.81 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22098/jhs.2015.2606 | ||
نویسندگان | ||
Khosro Sayevand* 1؛ Kazem Pichaghchi2 | ||
1Faculty of Mathematical Sciences, University of Malayer, P. O. Box 65718-18164, Malayer, Iran | ||
2Faculty of Mathematical Sciences, Malayer University, P. O. Box 16846-13114 Malayer, Iran | ||
چکیده | ||
In this article, we have implemented Sumudu transform iteration method as a new approximate analytical technique for solving fractional diffusion-wave equations. The fractional derivative is described in the Caputo sense. The solution existence, uniqueness, stability and convergence of the proposed scheme is discussed. Finally, the validity and applicability of our approach is examined with the use of a solvable model method. The results presented here are in compact and elegant expressed in term of Mittag-Leffler function which are suitable for numerical computation. | ||
کلیدواژهها | ||
Sumudu transform؛ Diffusion-wave equation؛ Caputo fractional derivative؛ Mittag-Leffler function | ||
مراجع | ||
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