A new approach for space-time fractional partial differential equations by residual power series method

DOI10.1016/j.amc.2018.04.032zbMath1427.35311OpenAlexW2804116700WikidataQ129753602 ScholiaQ129753602MaRDI QIDQ2335604

Ali Demir, Mine Aylin Bayrak

Publication date: 14 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.04.032

zbMATH Keywords

Caputo derivativeresidual power series methodspace-time fractional partial differential equations

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Convergence and divergence of series and sequences of functions (40A30) Fractional partial differential equations (35R11) Initial-boundary value problems for nonlinear first-order PDEs (35F31)

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Cites Work

• Unnamed Item
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• New results on fractional power series: theories and applications
• A general form of the generalized Taylor's formula with some applications
• A novel expansion iterative method for solving linear partial differential equations of fractional order
• Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
• Constructing and predicting solitary pattern solutions for nonlinear time-fractional dispersive partial differential equations
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• A new analytical modelling for fractional telegraph equation via Laplace transform
• Homotopy perturbation method for two dimensional time-fractional wave equation
• An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
• Application of variational iteration method to nonlinear differential equations of fractional order
• Analytical solutions of fractional foam drainage equation by residual power series method
• A representation of the exact solution of generalized Lane-Emden equations using a new analytical method
• A reliable analytical method for solving higher-order initial value problems
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Existence and Uniqueness of the Weak Solution of the Space-time Fractional Diffusion Equation and a Spectral Method Approximation
• Advances in Fractional Calculus

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