Approximate solutions of nonlinear fractional equations

DOI10.1016/j.amc.2009.11.041zbMath1247.65132OpenAlexW1965996072MaRDI QIDQ961600

H. I. Abdel-Gawad

Publication date: 31 March 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.041

zbMATH Keywords

approximate solutions\(H\)-functionsfractional Burgers equationfractional exponential functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

COMMENTS ON THE DIFFERENT STRUCTURES OF A DYNAMIC SYSTEM MODELING, Numerical solution ofq‐dynamic equations, Analytic solutions of fractal and fractional time derivative-Burgers-Nagumo equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact and analytical solution for nonlinear dispersive \(K(m,p)\) equations using homotopy perturbation method
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
• Mathematical modeling of time fractional reaction-diffusion systems
• New function of Mittag-Leffler type and its application in the fractional diffusion-wave equation
• On the convergence of He's variational iteration method
• A review of the decomposition method in applied mathematics
• The fundamental solutions for the fractional diffusion-wave equation
• Fox \(H\) functions in fractional diffusion
• Homotopy perturbation technique
• Time- and space-fractional partial differential equations
• The G and H Functions as Symmetrical Fourier Kernels
• The fractional diffusion equation
• Pattern formation outside of equilibrium