[HTML][HTML] A new computational approach for solving nonlinear local fractional PDEs
XJ Yang, F Gao, HM Srivastava - Journal of Computational and Applied …, 2018 - Elsevier
In this article, we propose a new factorization technique for nonlinear ODEs involving local
fractional derivatives for the first time. By making use of the traveling-wave transformation …
fractional derivatives for the first time. By making use of the traveling-wave transformation …
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
This paper investigates the Korteweg-de Vries equation within the scope of the local
fractional derivative formulation. The exact traveling wave solutions of non-differentiable …
fractional derivative formulation. The exact traveling wave solutions of non-differentiable …
A new fractal nonlinear Burgers' equation arising in the acoustic signals propagation
XJ Yang, JA Tenreiro Machado - Mathematical Methods in the …, 2019 - Wiley Online Library
In this letter, we consider the new nonlinear Burgers' equation engaging local fractional
derivative for the first time. With the use of the travelling‐wave transformation of non …
derivative for the first time. With the use of the travelling‐wave transformation of non …
A new fractional derivative without singular kernel: application to the modelling of the steady heat flow
arXiv:1601.01623v1 [math.GM] 30 Dec 2015 Page 1 arXiv:1601.01623v1 [math.GM] 30 Dec
2015 A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO …
2015 A NEW FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL: APPLICATION TO …
[HTML][HTML] Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method
Abstract Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting
fractional derivative operator with non-singular kernel involving Rabotnov fractional …
fractional derivative operator with non-singular kernel involving Rabotnov fractional …
Exact traveling-wave solution for local fractional Boussinesq equation in fractal domain
The new Boussinesq-type model in a fractal domain is derived based on the formulation of
the local fractional derivative. The novel traveling wave transform of the non-differentiable …
the local fractional derivative. The novel traveling wave transform of the non-differentiable …
New solitary wave solutions for the fractional Jaulent–Miodek hierarchy model
CF Wei - Fractals, 2023 - World Scientific
The main goal of this paper is to study the new solitary wave behaviors of the fractional
Jaulent–Miodek hierarchy model (FJMHE) with M-truncated fractional derivative. First, we …
Jaulent–Miodek hierarchy model (FJMHE) with M-truncated fractional derivative. First, we …
Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets
In this paper, we present a semi-analytic method called the local fractional homotopy
analysis method (LFHAM) for solving differential equations involving local fractional …
analysis method (LFHAM) for solving differential equations involving local fractional …
[PDF][PDF] Reduced differential transform and variational iteration methods for 3-D diffusion model in fractal heat transfer within local fractional operators
The analytical solutions of the 3-D diffusion equation in fractal heat transfer is found. The
reduced differential transform and variational iteration methods are considered in the local …
reduced differential transform and variational iteration methods are considered in the local …
[PDF][PDF] A new fractional derivative without singular kernel
∫ ∫ Page 1 Yang, X.-J., et al.: A New Fractional Derivative without Singular … THERMAL
SCIENCE, Year 2016, Vol. 20, No. 2, pp. 753-756 753 A NEW FRACTIONAL DERIVATIVE …
SCIENCE, Year 2016, Vol. 20, No. 2, pp. 753-756 753 A NEW FRACTIONAL DERIVATIVE …