Computational solutions of unified fractional reaction–diffusion equations with composite fractional time derivative

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2015.02.021 ◽

2015 ◽

Vol 27 (1-3) ◽

pp. 1-11 ◽

Author(s):

R.K. Saxena ◽

A.M. Mathai ◽

H.J. Haubold

Keyword(s):

Time Derivative ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Time Derivative ◽

Fractional Reaction

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Optimal control of fractional reaction-diffusion equations with Poisson jumps

The Journal of Analysis ◽

10.1007/s41478-018-0097-2 ◽

2018 ◽

Vol 27 (2) ◽

pp. 605-621 ◽

Author(s):

N. Durga ◽

P. Muthukumar

Keyword(s):

Optimal Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Poisson Jumps ◽

Fractional Reaction

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Fast implicit integration factor method for nonlinear space Riesz fractional reaction–diffusion equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.112935 ◽

2020 ◽

Vol 378 ◽

pp. 112935 ◽

Author(s):

Huan-Yan Jian ◽

Ting-Zhu Huang ◽

Xian-Ming Gu ◽

Xi-Le Zhao ◽

Yong-Liang Zhao

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Implicit Integration ◽

Factor Method ◽

Fractional Reaction

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Solving linear and non-linear space-time fractional reaction-diffusion equations by the Adomian decomposition method

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2165 ◽

2007 ◽

Vol 74 (1) ◽

pp. 138-158 ◽

Author(s):

Q. Yu ◽

F. Liu ◽

V. Anh ◽

I. Turner

Keyword(s):

Linear Space ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Adomian Decomposition ◽

Fractional Reaction

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A second-order efficientL-stable numerical method for space fractional reaction–diffusion equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2018.1435865 ◽

2018 ◽

Vol 95 (6-7) ◽

pp. 1408-1422 ◽

Author(s):

M. Yousuf

Keyword(s):

Numerical Method ◽

Reaction Diffusion ◽

Second Order ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Stable Numerical Method ◽

Fractional Reaction

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Existence of weak solutions for the nonlocal energy-weighted fractional reaction–diffusion equations

Journal of Evolution Equations ◽

10.1007/s00028-019-00494-9 ◽

2019 ◽

Vol 19 (3) ◽

pp. 883-914

Author(s):

Mao-Sheng Chang ◽

Hsi-Chun Wu

Keyword(s):

Weak Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Existence Of Weak Solutions ◽

Fractional Reaction

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Solutions of the time fractional reaction–diffusion equations with residual power series method

Advances in Mechanical Engineering ◽

10.1177/1687814016670867 ◽

2016 ◽

Vol 8 (10) ◽

pp. 168781401667086 ◽

Author(s):

Fairouz Tchier ◽

Mustafa Inc ◽

Zeliha S Korpinar ◽

Dumitru Baleanu

Keyword(s):

Power Series ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Series Method ◽

Power Series Method ◽

Residual Power Series Method ◽

Residual Power Series ◽

Residual Power ◽

Fractional Reaction

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Asymptotic dynamics of non-autonomous fractional reaction-diffusion equations on bounded domains

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2019.063 ◽

2020 ◽

pp. 1

Author(s):

Xin Li ◽

Wenxian Shen ◽

Chunyou Sun

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Bounded Domains ◽

Asymptotic Dynamics ◽

Fractional Reaction

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Solution of Generalized Fractional Reaction-Diffusion Equations

Astrophysics and Space Science ◽

10.1007/s10509-006-9191-z ◽

2006 ◽

Vol 305 (3) ◽

pp. 305-313 ◽

Author(s):

R. K. Saxena ◽

A. M. Mathai ◽

H. J. Haubold

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

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On the numerical solutions of coupled nonlinear time-fractional reaction-diffusion equations

AIMS Mathematics ◽

10.3934/math.2021529 ◽

2021 ◽

Vol 6 (8) ◽

pp. 9109-9125

Author(s):

Alesandra Jannelli ◽

◽

Maria Paola Speciale

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

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Existence of Peregrine type solutions in fractional reaction–diffusion equations

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2019.1.9 ◽

2019 ◽

pp. 1-9

Author(s):

Agustin Besteiro ◽

Diego Rial

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

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