Bäcklund transformation of fractional Riccati equation and infinite sequence solutions of nonlinear fractional PDEs

DOI10.1155/2014/572052zbMath1474.35665OpenAlexW2031774885WikidataQ59039560 ScholiaQ59039560MaRDI QIDQ1724421

Bin Lu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/572052

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Fractional partial differential equations (35R11)

Related Items

Exact solutions for some fractional differential equations, Exact solutions of nonlinear fractional order partial differential equations via singular manifold method, Exact solutions of the space-time fractional bidirectional wave equations using the \((G' / G)\)-expansion method

Cites Work

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• The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations
• Fractional variational iteration method and its application
• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• A homotopy perturbation technique for solving partial differential equations of fractional order in finite domains
• Homotopy perturbation method for fractional Black-Scholes European option pricing equations using Sumudu transform
• Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
• The Adomian decomposition method for solving partial differential equations of fractal order in finite domains
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
• Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
• A generalized differential transform method for linear partial differential equations of fractional order
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• Rational approximation solution of the fractional Sharma-Tasso-Olever equation