Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative

DOI10.4208/aamm.2014.m798zbMath1499.35620OpenAlexW2471502690MaRDI QIDQ5153654

Adem C. Cevikel, Özkan Güner, Ahmet Bekir, Burcu Ayhan

Publication date: 30 September 2021

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

Full work available at URL: https://doi.org/10.4208/aamm.2014.m798

zbMATH Keywords

\((G'/G)\)-expansion methodmodified Riemann-Liouville derivativefractional hybrid lattice equationfractional modified Korteweg-de Vries equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Generation, random and stochastic difference and differential equations (37H10) Fractional partial differential equations (35R11) PDEs in connection with computer science (35Q68)

Related Items (1)

Mechanical solving a few fractional partial differential equations and discussing the effects of the fractional order

Cites Work

• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• The first integral method for some time fractional differential equations
• Exact solutions of the space time fractional symmetric regularized long wave equation using different methods
• Discrete tanh method for nonlinear difference-differential equations
• Fractional complex transform for fractional differential equations
• The \((\frac{G'}{G})\)-expansion method for nonlinear differential-difference equations
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• Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
• Numerical treatment for singularly perturbed nonlinear differential difference equations with negative shift
• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
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• The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation
• Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
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• Discrete Jacobi sub-equation method for nonlinear differential-difference equations
• Nonlinear differential−difference equations
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