Fractional series expansion method for fractional differential equations

DOI10.1108/HFF-05-2014-0160zbMath1356.35271OpenAlexW1754304899MaRDI QIDQ2967352

Weihong Zhu, Zheng-Biao Li

Publication date: 28 February 2017

Published in: International Journal of Numerical Methods for Heat & Fluid Flow (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/hff-05-2014-0160

zbMATH Keywords

series solutionseries expansion methodmodified Riemann-Liouville derivativefractional complex transformKantorovich methodFSEM

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Fractional partial differential equations (35R11)

Related Items (1)

Fractional series expansion method for fractional differential equations

Cites Work

• Fractional variational iteration method and its application
• A tutorial review on fractal spacetime and fractional calculus
• Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order
• A review of the decomposition method in applied mathematics
• The homotopy perturbation method for nonlinear oscillators with discontinuities.
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Local fractional series expansion method for solving wave and diffusion equations on Cantor sets
• Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Optimality of an explicit series expansion of the fractional Brownian sheet
• Fractional series expansion method for fractional differential equations
• Variational Theory for Linear Magneto-Electro-Elasticity

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