Various exact solutions for the conformable time-fractional generalized FitzHugh-Nagumo equation with time-dependent coefficients

DOI10.1155/2021/8888989zbMath1486.35106OpenAlexW3177585678WikidataQ115243592 ScholiaQ115243592MaRDI QIDQ2065051

Nadia Deeb, Sami Injrou, Ramez Karroum

Publication date: 6 January 2022

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/8888989

zbMATH Keywords

sine-cosine methodsubequation method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Fractional partial differential equations (35R11)

Related Items (2)

A class of nonlocal impulsive differential equations with conformable fractional derivative ⋮ Controllability of mild solution of nonlocal conformable fractional differential equations

Cites Work

• Fractional sub-equation method and its applications to nonlinear fractional PDEs
• On conformable fractional calculus
• New approach to a generalized fractional integral
• Canonical reduction of self-dual Yang-Mills equations to Fitzhugh-Nagumo equation and exact solutions
• Recent history of fractional calculus
• Counterexamples on Jumarie's two basic fractional calculus formulae
• Solutions of the generalized KdV equation with time-dependent damping and dispersion
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• New fractional complex transform for conformable fractional partial differential equations
• Solitary and periodic wave solutions of higher-dimensional conformable time-fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \)-expansion method
• Exact solutions for the conformable space-time fractional Zeldovich equation with time-dependent coefficients
• A new definition of fractional derivative
• Extended tanh-function method and its applications to nonlinear equations
• APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS
• A New Approach to Generalized Fractional Derivatives
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