Approximate analytical solutions to conformable modified Burgers equation using homotopy analysis method

DOI10.2478/amsil-2018-0011zbMath1420.35058OpenAlexW2904400371MaRDI QIDQ2272532

Ali Kurt, Orkun Tasbozan

Publication date: 10 September 2019

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2018-0011

zbMATH Keywords

homotopy analysis methodconformable derivativemodified Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (2)

A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow ⋮ A multiresolution collocation method and its convergence for Burgers' type equations

Cites Work

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• New properties of conformable derivative
• On conformable fractional calculus
• A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
• Notes on the homotopy analysis method: some definitions and theorems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact traveling wave solutions to the fractional coupled nonlinear Schrödinger equations
• A new definition of fractional derivative
• Beyond Perturbation
• New exact solutions of Burgers’ type equations with conformable derivative

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