An efficient series solution for nonlinear multiterm fractional differential equations
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Publication:2398784
DOI10.1155/2017/5234151zbMath1371.34006OpenAlexW2594890707WikidataQ59143198 ScholiaQ59143198MaRDI QIDQ2398784
Moh'd Khier Al-Srihin, Mohammed Al-Refai
Publication date: 21 August 2017
Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2017/5234151
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)
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Cites Work
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- Convenient analytic recurrence algorithms for the Adomian polynomials
- A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
- Application of homotopy analysis method to fractional KdV-Burgers-Kuramoto equation
- Numerical studies for a multi-order fractional differential equation
- Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
- The approximate and exact solutions of the space- and time-fractional Burgers equations with initial conditions by variational iteration method
- Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An efficient series solution for fractional differential equations
- Numerical solutions for systems of fractional differential equations by the decomposition method
- Chaos analysis of the nonlinear duffing oscillators based on the new Adomian polynomials
- Riesz Riemann–Liouville difference on discrete domains
- A review of the decomposition method and some recent results for nonlinear equations