Construction of analytical solution for Hirota–Satsuma coupled KdV equation according to time via new approach: Residual power series

A new approach for space-time fractional partial differential equations by residual power series method

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.032 ◽

2018 ◽

Vol 336 ◽

pp. 215-230 ◽

Cited By ~ 5

Author(s):

Mine Aylin Bayrak ◽

Ali Demir

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Series Method ◽

Fractional Partial Differential Equations ◽

Power Series Method ◽

New Approach ◽

Residual Power Series ◽

Approximate Analytical Solution by Residual Power Series Method for System of Fredholm Integral Equations

Applied Mathematics & Information Sciences ◽

10.18576/amis/100315 ◽

2016 ◽

Vol 10 (3) ◽

pp. 975-985 ◽

Cited By ~ 19

Author(s):

Iryna Komashynska ◽

Mohammed Al-Smadi ◽

Ali Ateiwi ◽

Sadoon Al-Obaidy

Keyword(s):

Analytical Solution ◽

Power Series ◽

Integral Equations ◽

Approximate Analytical Solution ◽

Fredholm Integral Equations ◽

Series Method ◽

Power Series Method ◽

Residual Power Series ◽

A New Approach for the Solution of Space-Time Fractional Order Heat-Like Partial Differential Equations by Residual Power Series Method

Communications in Mathematics and Applications ◽

10.26713/cma.v10i3.626 ◽

2019 ◽

Vol 10 (3) ◽

Author(s):

Ali Demir ◽

Mine Aylin Bayrak

Keyword(s):

Partial Differential Equations ◽

Power Series ◽

Differential Equations ◽

Fractional Order ◽

Series Method ◽

Power Series Method ◽

New Approach ◽

Residual Power Series ◽

A novel analytical solution for the modified Kawahara equation using the residual power series method

Nonlinear Dynamics ◽

10.1007/s11071-017-3512-3 ◽

2017 ◽

Vol 89 (2) ◽

pp. 1233-1238 ◽

Cited By ~ 7

Author(s):

Bewar A. Mahmood ◽

Majeed A. Yousif

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Kawahara Equation ◽

Power Series Method ◽

Residual Power Series ◽

Analytical Solution of the Fractional Initial Emden–Fowler Equation Using the Fractional Residual Power Series Method

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-018-0538-2 ◽

2018 ◽

Vol 4 (4) ◽

Cited By ~ 6

Author(s):

Muhammed I. Syam

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Power Series Method ◽

Residual Power Series ◽

Fowler Equation ◽

Addendum: Shqair, M., et al. Analytical Solution for Multi-Energy Groups of Neutron Diffusion Equations by a Residual Power Series Method. Mathematics 2019, 7, 633

Mathematics ◽

10.3390/math7111061 ◽

2019 ◽

Vol 7 (11) ◽

pp. 1061

Author(s):

Shqair ◽

El-Ajou ◽

Nairat

Keyword(s):

Analytical Solution ◽

Power Series ◽

Diffusion Equations ◽

Neutron Diffusion ◽

Series Method ◽

Power Series Method ◽

Residual Power Series ◽

The authors wish to insert this additional sentence in the Acknowledgments section [...]

Analytical Solution of Fractional Burgers-Huxley Equations via Residual Power Series Method

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080219020082 ◽

2019 ◽

Vol 40 (2) ◽

pp. 174-182 ◽

Cited By ~ 3

Author(s):

A. A. Freihet ◽

M. Zuriqat

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Power Series Method ◽

Residual Power Series ◽

Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method

Nonlinear Dynamics ◽

10.1007/s11071-017-3820-7 ◽

2017 ◽

Vol 90 (4) ◽

pp. 2525-2529 ◽

Cited By ~ 35

Author(s):

Marwan Alquran ◽

H. M. Jaradat ◽

Muhammed I. Syam

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Power Series Method ◽

Residual Power Series ◽

ANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHOD

Journal of Applied Analysis & Computation ◽

10.11948/2015046 ◽

2015 ◽

Vol 5 (4) ◽

pp. 589-599

Author(s):

Marwan Alquran ◽

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Evolutionary System ◽

Power Series Method ◽

Two Component ◽

Residual Power Series ◽

Erratum to: A novel analytical solution for the modified Kawahara equation using the residual power series method

Nonlinear Dynamics ◽

10.1007/s11071-017-3534-x ◽

2017 ◽

Vol 89 (2) ◽

pp. 1239-1239

Author(s):

Bewar A. Mahmood ◽

Majeed A. Yousif

Keyword(s):

Analytical Solution ◽

Power Series ◽

Series Method ◽

Kawahara Equation ◽

Power Series Method ◽

Residual Power Series ◽