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 paper, we implement computational methods, namely the local fractional natural
homotopy analysis method (LFNHAM) and local fractional natural decomposition method …

In this paper, we present the implementation of a local fractional homotopy perturbation
method pertaining to the local fractional natural transform (LFNT) operator for local fractional …

This paper gives a highly efficient technique to analyse the fractional BBM-Burger equation
and fractional Diffusion-Wave equation. These equations are used to model various real-life …

This paper gives insight on the nonlinear mathematical model of fractional order, which
defines the dynamic variation of carbon dioxide gas (CO 2) concentration in the atmosphere …

In this paper, we aim to present a powerful approach for the approximate results of multi-
dimensional diffusion problems with time-fractional derivatives. The fractional order is …

In this paper, the local fractional natural decomposition method (LFNDM) is used for solving
a local fractional Poisson equation. The local fractional Poisson equation plays a significant …

Fractal geometry plays an important role in the description of the characteristics of nature.
Local fractional calculus, a new branch of mathematics, is used to handle the non …

The main objective of this manuscript is to examine the behavior of cold plasma system
governed by nonlinear fractional partial differential equations in the sense of Caputo …

Herein, we offer semi− analytic numerical procedures for the 1− D Tricomi− type time−
fractional equation (T− FTTE). We consider the Jacobi− shifted polynomials as basis …