A new computational approach for solving nonlinear local fractional PDEs
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Publication:1748181
DOI10.1016/j.cam.2017.10.007zbMath1490.35530OpenAlexW2763401070WikidataQ58100568 ScholiaQ58100568MaRDI QIDQ1748181
Feng Gao, Xiao-Jun Yang, Hari M. Srivastava
Publication date: 9 May 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.10.007
Newell-Whitehead equationfactorization techniqueFitzHugh-Nagumo equationlocal fractional derivativesexact traveling-wave solution
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Cites Work
- Unnamed Item
- Unnamed Item
- Notions of generalized \(s\)-convex functions on fractal sets
- Generalized Pompeiu type inequalities for local fractional integrals and its applications
- On calculus of local fractional derivatives
- No violation of the Leibniz rule. No fractional derivative
- On the local fractional derivative
- On the local fractional derivative of everywhere non-differentiable continuous functions on intervals
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- Generalized Ostrowski type inequalities for local fractional integrals
- New Hermite-Hadamard and Jensen Type Inequalities for h-Convex Functions on Fractal Sets
- Nonlinear Second Order Ode's: Factorizations and Particular Solutions
- Local Fractional Fokker-Planck Equation
- Fractional differentiability of nowhere differentiable functions and dimensions
- A New Family of the Local Fractional PDEs
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Diffusion problems in fractal media defined on Cantor sets
- About non-differentiable functions
- Static-kinematic duality and the principle of virtual work in the mechanics of fractal media
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