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mmr 2018, 4(1): 45-62 |
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Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted Legendre Operational Matrices. mmr 2018; 4 (1) :45-62
URL: http://mmr.khu.ac.ir/article-1-2655-en.html
URL: http://mmr.khu.ac.ir/article-1-2655-en.html
Abstract: (3754 Views)
Fractional differential equations (FDEs) have attracted in the recent years a considerable interest due to their frequent appearance in various fields and their more accurate models of systems under consideration provided by fractional derivatives. For example, fractional derivatives have been used successfully to model frequency dependent damping behavior of many viscoelastic materials. They are also used in modeling of many chemical processed, mathematical biology and many other problems in engineering. The history and a comprehensive treatment of FDEs are provided by Podlubny and a review of some applications of FDEs are given by Mainardi.
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./files/site1/files/41/4Extended_Abstract(1).pdf
Keywords: Operational matrices, Caputo fractional derivative, Riemann-Liouville fractional integral, Shifted Legendre polynomials, Two-dimensional space-time fractional telegraph equation
Type of Study: S |
Subject:
alg
Received: 2017/07/19 | Revised: 2019/07/3 | Accepted: 2017/12/23 | Published: 2018/01/8 | ePublished: 2018/01/8
Received: 2017/07/19 | Revised: 2019/07/3 | Accepted: 2017/12/23 | Published: 2018/01/8 | ePublished: 2018/01/8
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