On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation

DOI10.3390/SYM11030417zbMath1423.35394OpenAlexW2909566332WikidataQ128178452 ScholiaQ128178452MaRDI QIDQ2335084

Imed Bachar, Hassan Eltayeb, Adem Kilicman

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym11030417

zbMATH Keywords

conformable fractional derivativeconformable double Laplace decomposition methodconformable partial fractional derivativesingular one dimensional coupled Burgers' equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fractional partial differential equations (35R11)

Related Items (6)

A note on time-fractional Navier-Stokes equation and multi-Laplace transform decomposition method ⋮ Solution of 2D state space continuous-time conformable fractional linear system using Laplace and Sumudu transform ⋮ Application of multi-dimensional of conformable Sumudu decomposition method for solving conformable singular fractional coupled Burger's equation ⋮ General solution of two-dimensional singular fractional linear continuous-time system using the conformable derivative and Sumudu transform ⋮ Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium ⋮ Application of conformable Sumudu decomposition method for solving conformable fractional coupled Burger's equation

Cites Work

• On conformable fractional calculus
• Numerical solutions of the space- and time-fractional coupled Burgers equations by generalized differential transform method
• Analytical solutions for conformable space-time fractional partial differential equations via fractional differential transform
• Invariant subspaces admitted by fractional differential equations with conformable derivatives
• Exact traveling wave solutions to the fractional coupled nonlinear Schrödinger equations
• Simplest equation method for some time-fractional partial differential equations with conformable derivative
• A new definition of fractional derivative
• Limit set of trajectories of the coupled viscous Burgers' equations
• New exact solutions of Burgers’ type equations with conformable derivative
• A note on a singular coupled Burgers equation and double Laplace transform method
• Conformable Fractional Wave-Like Equation on a Radial Symmetric Plate

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