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 …

A new local fractional modified Benjamin–Bona–Mahony equation is proposed within the
local fractional derivative in this study for the first time. By defining some elementary …

In this paper, we present the application of local fractional methods in combination with the
local fractional Sumudu transform (LFST) for a local fractional Tricomi equation (LFTE). The …

Fractal fractional operators in Caputo and Caputo-Fabrizio sense are being used in this
manuscript to explore the interaction between the immune system and cancer cells. The …

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 a newly proposed local fractional method pertaining to the local
fractional Sumudu transform (LFST) for computational study of local fractional Schrödinger's …

Analysis of local fractional coupled Helmholtz and coupled Burgers’ equations in fractal media
Page 1 AIMS Mathematics, 7(5): 8080–8111. DOI: 10.3934/math.2022450 Received: 02 …

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 …

In this paper, we propose a copulation of the local fractional variational iteration technique
and local fractional natural transform (LFNT) for solving the dissipative and damped wave …

In this paper, we implement the local fractional natural homotopy perturbation method
(LFNHPM) to solve certain local fractional partial differential equations (LFPDEs) with fractal …