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 …
An efficient computational technique for local fractional Fokker Planck equation
The key aim of the present study is to compute the solution of local fractional Fokker Planck
equation (LFFPE) on the Cantor set. We perform a comparison between the reduced …
equation (LFFPE) on the Cantor set. We perform a comparison between the reduced …
[PDF][PDF] On approximate solutions for fractional system of differential equations with Caputo-Fabrizio fractional operator
HK Jassim, MA Shareef - J. Math. Comput. Sci, 2021 - researchgate.net
In this paper, we apply the Daftardar-Jafari method (DJM) and Sumudu decomposition
method (SDM) to obtain the approximate analytical solutions of the fractional system of …
method (SDM) to obtain the approximate analytical solutions of the fractional system of …
A modification fractional variational iteration method for solving non-Linear gas dynamic and coupled Kdv equations involving local fractional operators
In this paper, we apply a new technique, namely local fractional variational iteration
transform method on homogeneous/non-homogeneous non-linear gas dynamic and …
transform method on homogeneous/non-homogeneous non-linear gas dynamic and …
Analytical approximate solutions for local fractional wave equations
HK Jassim - Mathematical Methods in the Applied Sciences, 2020 - Wiley Online Library
The analytical approximate solutions of the wave equation with local fractional derivative
operators (LFDOs) are utilized in this manuscript. The reduced differential transform method …
operators (LFDOs) are utilized in this manuscript. The reduced differential transform method …
[HTML][HTML] An effective computational approach to the local fractional low-pass electrical transmission lines model
KJ Wang - Alexandria Engineering Journal, 2025 - Elsevier
In this research, a new fractional low-pass electrical transmission lines model (LPETLM)
described by the local fractional derivative (LFD) is derived for the first time. By defining the …
described by the local fractional derivative (LFD) is derived for the first time. By defining the …
Time-fractional differential equations with an approximate solution
This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP)
with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial …
with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial …
Solving Helmholtz equation with local fractional derivative operators
The paper presents a new analytical method called the local fractional Laplace variational
iteration method (LFLVIM), which is a combination of the local fractional Laplace transform …
iteration method (LFLVIM), which is a combination of the local fractional Laplace transform …
A novel approach for Korteweg-de Vries equation of fractional order
In this study, the local fractional variational iteration method (LFVIM) and the local fractional
series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg …
series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg …
A modification fractional homotopy perturbation method for solving Helmholtz and coupled Helmholtz equations on Cantor sets
In this paper, we apply a new technique, namely, the local fractional Laplace homotopy
perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain …
perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain …