Analytical treatment of differential equations with fractional coordinate derivatives
DOI10.1016/j.camwa.2011.03.047zbMath1228.65200OpenAlexW1973711610MaRDI QIDQ651582
Ahmad Golbabai, Khosro Sayevand
Publication date: 18 December 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.047
fractional differential equationshomotopy perturbation methodMittag-Leffler stabilityjumarie's derivativefourth-order fractional diffusion-wave equation
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (9)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving fractional diffusion and wave equations by modified homotopy perturbation method
- Analysis of nonlinear fractional partial differential equations with the homotopy analysis method
- Recent history of fractional calculus
- Variational iteration method -- some recent results and new interpretations
- Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
- Solving frontier problems of physics: the decomposition method
- The fundamental solutions for the fractional diffusion-wave equation
- A Bäcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
- A new algorithm for calculating Adomian polynomials for nonlinear operators
- Two new applications of the homogeneous balance method
- On Mittag-Leffler-type functions in fractional evolution processes
- Lyapunov stability solutions of fractional integrodifferential equations
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Homotopy perturbation technique
- Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
- Generalized differential transform method: Application to differential equations of fractional order
- The numerical solution of the second Painlevé equation
- Numerical study of homotopy-perturbation method applied to Burgers equation in fluid
This page was built for publication: Analytical treatment of differential equations with fractional coordinate derivatives