Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted LEgendre Operational Matrices

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ALIPOUR MOHSEN; Hosseini Pashakolaei Seyedeh Sajedeh

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Journal: MATHEMATICAL RESEARCHES Year:2018 | Volume:4 | Issue:1 Page(s): 45-62

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Information Journal Paper

Title

Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted LEgendre Operational Matrices

Author(s)

ALIPOUR MOHSEN | Hosseini Pashakolaei Seyedeh Sajedeh | Issue Writer Certificate

Keywords

Operational matricesQ1

Caputo fractional derivativeQ1

Riemann-Liouville fractional integralQ1

Shifted Legendre polynomialsQ1

Two-dimensional space-time fractional telegraph equationQ1

Abstract

Introduction 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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APA: Copy

ALIPOUR, MOHSEN, & Hosseini Pashakolaei, Seyedeh Sajedeh. (2018). Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted LEgendre Operational Matrices. MATHEMATICAL RESEARCHES, 4(1 ), 45-62. SID. https://sid.ir/paper/260803/en

Vancouver: Copy

ALIPOUR MOHSEN, Hosseini Pashakolaei Seyedeh Sajedeh. Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted LEgendre Operational Matrices. MATHEMATICAL RESEARCHES[Internet]. 2018;4(1 ):45-62. Available from: https://sid.ir/paper/260803/en

IEEE: Copy

MOHSEN ALIPOUR, and Seyedeh Sajedeh Hosseini Pashakolaei, “Numerical Solution of Space-time Fractional two-dimensional Telegraph Equation by Shifted LEgendre Operational Matrices,” MATHEMATICAL RESEARCHES, vol. 4, no. 1 , pp. 45–62, 2018, [Online]. Available: https://sid.ir/paper/260803/en

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