Analytical and numerical solution of multi-term nonlinear differential equations of arbitrary orders

DOI10.1007/s12190-009-0291-0zbMath1204.34006OpenAlexW2048921731MaRDI QIDQ980435

J. Martínez

Publication date: 29 June 2010

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

Full work available at URL: https://doi.org/10.1007/s12190-009-0291-0

zbMATH Keywords

convergence analysisRiemann-Liouville derivativeAdomian methodnonlinear fractional differential equationPodlubny numerical method

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08)

Related Items (3)

Numerical solution of singular boundary value problems using Green's function and improved decomposition method ⋮ The Adomian decomposition method with Green's function for solving nonlinear singular boundary value problems ⋮ Volterra series approximation for rational nonlinear system

Cites Work

• Numerical solution for multi-term fractional (arbitrary) orders differential equations
• A modified decomposition
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solving frontier problems of physics: the decomposition method
• Convergence of Adomian's method applied to differential equations
• Numerical methods for multi-term fractional (arbitrary) orders differential equations
• Analysis of a system of fractional differential equations
• Analytical approximate solutions for nonlinear fractional differential equations
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• Stochastic systems
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