The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

Many phenomena in physics and engineering have fractal structures; then analysis on them
has a vital role in the application. In this chapter, we present some frameworks of analysis on …

In this paper, a hybrid local fractional technique is applied to some local fractional partial
differential equations. Partial differential equations modeled with local fractional derivatives …

In this work, the local fractional variational iteration method is employed to handle the sub-
diffusion and wave equations and the analytical solutions are obtained. The present method …

A Review on Application of the Local Fractal Calculus Page 1 Num. Com. Meth. Sci. Eng. 1,
No. 2, 57-66 (2019) 57 Numerical and Computational Methods in Sciences & Engineering An …

This work presents the analysis of the fractional time constant and the transitory response
(delay, rise, and settling times) of a RC circuit as a physical interpretation of fractional …

Local fractional derivatives were investigated intensively during the last few years. The
coupling method of Sumudu transform and local fractional calculus (called as the local …

We proposed a local fractional series expansion method to solve the wave and diffusion
equations on Cantor sets. Some examples are given to illustrate the efficiency and accuracy …

We use the local fractional series expansion method to solve the Klein‐Gordon equations on
Cantor sets within the local fractional derivatives. The analytical solutions within the …

In this paper, the fractional differential equation for the transmission line without losses in
terms of the fractional time derivatives of the Caputo type is considered. In order to keep the …