Variational Iteration Method for Fractional Calculus - a Universal Approach by Laplace Transform
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Date
2013
Authors
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Publisher
Springeropen
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GOLD
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Abstract
A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically solved as examples and the methodology is demonstrated.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Variational Iteration Method, Fractional Calculus, Laplace Transform, Symbolic Computation, Laplace transform, Multivariable calculus, Mathematical analysis, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Differential equation, FOS: Mathematics, Anomalous Diffusion Modeling and Analysis, Laplace transform applied to differential equations, Mellin transform, Numerical Analysis, Algebra and Number Theory, Time-scale calculus, Applied Mathematics, FOS: Clinical medicine, Control engineering, Fractional calculus, Partial differential equation, Applied mathematics, Fracture Mechanics Modeling and Simulation, Fractional Derivatives, Mechanics of Materials, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Fractional Calculus, Calculus (dental), Iterative Methods, Analysis, Mathematics, Ordinary differential equation, Inverse Laplace transform, Numerical optimization and variational techniques, Fractional ordinary differential equations, fractional calculus, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, symbolic computation, variational iteration method
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Baleanu, Dimitru; Wu, Guo-Cheng, "Variational Iteration Method for Fractional Calculus - a Universal Approach By Laplace Transform", Advances In Difference Equations, (2013).
WoS Q
Q1
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OpenCitations Citation Count
73
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 25
Scopus : 99
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