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Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three-Dimensional Space
Abstract
The main purpose of this article is to study non-homogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three-dimensional space, where the fractional derivative is defined in the Caputo sense. The convection-diffusion equation describes physical phenomena where particles, energy, or other physical quantities are transferred inside a physical system due to two processes: diffusion and convection
Keywords
References
- Aghili A., Masomi M.R. Solution to time fractional partial differential equations and dynamical systems via integral transform. Journal of Interdisciplinary Mathematics ( Taru Publications) . Vol.14 (2011),No.5&6,pp.545-560.
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- Jiang H., Liu F., Turner I., and Burrage K. Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain. J. Math. Anal. Appl. 389 (2012) 1117-1127.
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Details
Primary Language
Turkish
Subjects
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Journal Section
-
Publication Date
August 1, 2014
Submission Date
March 13, 2015
Acceptance Date
-
Published in Issue
Year 2014 Volume: 2 Number: 2
APA
Aghili, A., & Masomi, M. R. (2014). Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space. New Trends in Mathematical Sciences, 2(2), 106-116. https://izlik.org/JA39ZY98DM
AMA
1.Aghili A, Masomi M R. Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space. New Trends in Mathematical Sciences. 2014;2(2):106-116. https://izlik.org/JA39ZY98DM
Chicago
Aghili, Arman, and Mohamed Rasool Masomi. 2014. “Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three- Dimensional Space”. New Trends in Mathematical Sciences 2 (2): 106-16. https://izlik.org/JA39ZY98DM.
EndNote
Aghili A, Masomi M R (August 1, 2014) Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space. New Trends in Mathematical Sciences 2 2 106–116.
IEEE
[1]A. Aghili and M. R. Masomi, “Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 106–116, Aug. 2014, [Online]. Available: https://izlik.org/JA39ZY98DM
ISNAD
Aghili, Arman - Masomi, Mohamed Rasool. “Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three- Dimensional Space”. New Trends in Mathematical Sciences 2/2 (August 1, 2014): 106-116. https://izlik.org/JA39ZY98DM.
JAMA
1.Aghili A, Masomi M R. Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space. New Trends in Mathematical Sciences. 2014;2:106–116.
MLA
Aghili, Arman, and Mohamed Rasool Masomi. “Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three- Dimensional Space”. New Trends in Mathematical Sciences, vol. 2, no. 2, Aug. 2014, pp. 106-1, https://izlik.org/JA39ZY98DM.
Vancouver
1.Arman Aghili, Mohamed Rasool Masomi. Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space. New Trends in Mathematical Sciences [Internet]. 2014 Aug. 1;2(2):106-1. Available from: https://izlik.org/JA39ZY98DM