Local fractional Fourier series method for solving nonlinear equations with local fractional operators

DOI10.1155/2015/481905zbMath1394.35571OpenAlexW1492525020WikidataQ59118695 ScholiaQ59118695MaRDI QIDQ1665782

Yong-Ju Yang, Shun-Qin Wang

Publication date: 27 August 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/481905

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) General harmonic expansions, frames (42C15) Fractional partial differential equations (35R11)

Cites Work

• A shifted Jacobi-Gauss-Lobatto collocation method for solving nonlinear fractional Langevin equation involving two fractional orders in different intervals
• A shifted Legendre spectral method for fractional-order multi-point boundary value problems
• Fractional differential transform method combined with the Adomian polynomials
• A fractional variational iteration method for solving fractional nonlinear differential equations
• Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
• Maxwell's equations on Cantor sets: a local fractional approach
• Local fractional function decomposition method for solving inhomogeneous wave equations with local fractional derivative
• Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
• Local fractional Sumudu transform with application to IVPs on Cantor sets
• Variational iteration method for the Burgers' flow with fractional derivatives -- new Lagrange multipliers
• Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
• Local fractional Fourier series with application to wave equation in fractal vibrating string
• Efficient analytic method for solving nonlinear fractional differential equations
• Local fractional Poisson and Laplace equations with applications to electrostatics in fractal domain
• New applications of the variational iteration method -- from differential equations to \(q\)-fractional difference equations
• Unnamed Item
• Unnamed Item
• Unnamed Item