New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations
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Date
2013
Authors
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Publisher
Springeropen
Open Access Color
GOLD
Green Open Access
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Abstract
The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study mainly concentrates on the analytical aspects, and the variational iteration method is extended in a new way to solve an initial value problem.
Description
Wu, Guo-Cheng/0000-0002-1946-6770
ORCID
Keywords
Variational Iteration Method, Fractional Calculus, Time Scales, Q-Calculus, Laplace Transform, Symbolic Computation, Multivariable calculus, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, Convergence Analysis of Iterative Methods for Nonlinear Equations, Differential equation, Engineering, FOS: Mathematics, Nonlinear Equations, Anomalous Diffusion Modeling and Analysis, Numerical Analysis, Algebra and Number Theory, Time-scale calculus, Applied Mathematics, Physics, FOS: Clinical medicine, Control engineering, Fractional calculus, Partial differential equation, Applied mathematics, Differential calculus, Modeling and Simulation, Dentistry, Physical Sciences, Nonlinear system, Medicine, Calculus (dental), Iterative Methods, Analysis, Mathematics, Nonlinear Systems, Ordinary differential equation, Calculus of variations, Laplace transform, Difference equations, scaling (\(q\)-differences), fractional calculus, Fractional derivatives and integrals, \(q\)-calculus, time scales, symbolic computation, variational iteration method
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Wu, Guo-Cheng; Baleanu, Dumitru, "New applications of the variational iteration method - from differential equations to q-fractional difference equations", Advances In Difference Equations, (2013)
WoS Q
Q1
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OpenCitations Citation Count
41
Source
Advances in Difference Equations
Volume
2013
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CrossRef : 19
Scopus : 65
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68
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