Exact solutions of generalized nonlinear time-fractional reaction–diffusion equations with time delay

The European Physical Journal Plus ◽

10.1140/epjp/s13360-020-00445-1 ◽

2020 ◽

Vol 135 (6) ◽

Author(s):

P. Prakash ◽

Sangita Choudhary ◽

Varsha Daftardar-Gejji

Keyword(s):

Exact Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Fractional Reaction

Download Full-text

Active disturbance rejection control for fractional reaction-diffusion equations with spatially varying diffusivity and time delay

Science China Information Sciences ◽

10.1007/s11432-019-2876-9 ◽

2021 ◽

Vol 65 (2) ◽

Author(s):

Rui-Yang Cai ◽

Hua-Cheng Zhou ◽

Chun-Hai Kou

Keyword(s):

Disturbance Rejection ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Active Disturbance Rejection Control ◽

Active Disturbance Rejection ◽

Disturbance Rejection Control ◽

Spatially Varying ◽

Fractional Reaction

Download Full-text

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

Download Full-text

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

Download Full-text

Exact solutions to new classes of reaction-diffusion equations containing delay and arbitrary functions

Theoretical Foundations of Chemical Engineering ◽

10.1134/s0040579515020104 ◽

2015 ◽

Vol 49 (2) ◽

pp. 169-175 ◽

Author(s):

A. D. Polyanin

Keyword(s):

Exact Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

Exact solutions for logistic reaction–diffusion equations in biology

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-016-0686-3 ◽

2016 ◽

Vol 67 (4) ◽

Author(s):

P. Broadbridge ◽

B. H. Bradshaw-Hajek

Keyword(s):

Exact Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations

Download Full-text

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

Download Full-text