APPROXIMATE SOLUTIONS FOR TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 USING COUPLED FRACTIONAL REDUCED DIFFERENTIAL TRANSFORM METHOD
DOI10.11948/2017080zbMath1447.35123OpenAlexW2763678635MaRDI QIDQ5121539
Publication date: 15 September 2020
Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11948/2017080
generalized Taylor seriescoupled fractional reduced differential transformresidual power series methodtime-fractional two-component evolutionary system of order 2
Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Fractional partial differential equations (35R11) Initial value problems for systems of nonlinear higher-order PDEs (35G55)
Cites Work
- Unnamed Item
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- A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
- Approximate analytical solutions of time fractional Whitham-Broer-Kaup equations by a residual power series method
- A general form of the generalized Taylor's formula with some applications
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- Generalized Taylor's formula
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the existence and uniqueness of solutions of a class of fractional differential equations
- Soliton solutions to a few coupled nonlinear wave equations by tanh method
- Soliton solutions for time fractional coupled modified KdV equations using new coupled fractional reduced differential transform method
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- ANALYTICAL SOLUTION OF TIME-FRACTIONAL TWO-COMPONENT EVOLUTIONARY SYSTEM OF ORDER 2 BY RESIDUAL POWER SERIES METHOD
- A novel method for travelling wave solutions of fractional Whitham–Broer–Kaup, fractional modified Boussinesq and fractional approximate long wave equations in shallow water
- A highly accurate collocation algorithm for 1 + 1 and 2 + 1 fractional percolation equations
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