Solutions of 1-D dispersive equation with time and space-fractional derivatives

DOI10.1007/s40819-017-0462-xzbMath1383.65116OpenAlexW2775651056MaRDI QIDQ1700466

Mostafa Safavi

Publication date: 6 March 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0462-x

zbMATH Keywords

convergenceexistenceAdomian decomposition methodfractional differential equationsdispersive equation

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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Cites Work

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• Space-fractional advection-dispersion equations by the Kansa method
• A new improved Adomian decomposition method and its application to fractional differential equations
• Recent advances on radial basis function collocation methods
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• Dispersive blow-up for nonlinear Schrödinger equations revisited
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• Numerical solutions to initial and boundary value problems for linear fractional partial differential equations
• A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions
• A conservative difference scheme for the viscous Cahn--Hilliard equation with a nonconstant gradient energy coefficient
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• The global Cauchy problems for the nonlinear dispersive equations on modulation spaces
• The existence of solutions for boundary value problems of two types fractional perturbation differential equations
• Adomian decomposition method for solving the Volterra integral form of the Lane-Emden equations with initial values and boundary conditions
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• Fractional Calculus: Integral and Differential Equations of Fractional Order

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