Efficient analytic method for solving nonlinear fractional differential equations
From MaRDI portal
Publication:1994490
DOI10.1016/j.apm.2013.09.018zbMath1427.34009OpenAlexW2024308409MaRDI QIDQ1994490
Publication date: 1 November 2018
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2013.09.018
generalized differential transform methodgeneralized Taylor seriesRiemann-Liouville functional integral operator
Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)
Related Items
Local fractional Fourier series method for solving nonlinear equations with local fractional operators ⋮ Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations
Cites Work
- Fractional differential transform method combined with the Adomian polynomials
- The fractional variational iteration method using He's polynomials
- Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the rach-Adomian-meyers modified decomposition method
- Solving systems of fractional differential equations by homotopy-perturbation method
- Differential transform method for solving the linear and nonlinear Klein-Gordon equation
- Solving linear and nonlinear initial value problems by the projected differential transform method
- Convenient analytic recurrence algorithms for the Adomian polynomials
- A fractional variational iteration method for solving fractional nonlinear differential equations
- A new analytic solution for fractional chaotic dynamical systems using the differential transform method
- Homotopy analysis method for fractional IVPs
- Homotopy analysis method for solving fractional Lorenz system
- Comments on ``Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
- Generalized Taylor's formula
- Application of homotopy-perturbation method to fractional IVPs
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- The homotopy analysis method for handling systems of fractional differential equations
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
- Analytical solution of a fractional diffusion equation by variational iteration method
- Series solutions of systems of nonlinear fractional differential equations
- Transformation of series
- Nonlinear transformation of series. II
- A modified decomposition
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Two-dimensional differential transform for partial differential equations
- A new algorithm for calculating one-dimensional differential transform of nonlinear functions
- Generalized differential transform method: Application to differential equations of fractional order
- Solving systems of fractional differential equations using differential transform method
- Analytical solution of the linear fractional differential equation by Adomian decomposition method
- Solution of fractional differential equations by using differential transform method
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- On solving the initial-value problems using the differential transformation method
