In this paper a review on harmonic wavelets and their fractional generalization, within the
local fractional calculus, will be discussed. The main properties of harmonic wavelets and …

In this paper, a family of local fractional two-dimensional Burgers-type equations (2DBEs) is
investigated. The local fractional Riccati differential equation method is proposed here for …

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 …

In this research work, we constructed the solitary wave solutions of generalized Kadomtsev–
Petviashvili modified equal width (KP-MEW) equation with the help of new technique which …

The present paper deals with a new fractional SIRS-SI model describing the transmission of
malaria disease. The SIRS-SI malaria model is modified by using the Caputo–Fabrizio …

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 …

Purpose The fractal and fractional calculus have obtained considerable attention in the
electrical and electronic engineering since they can model many complex phenomena that …

In this research, we consider the propagation of one-dimensional nonlinear behavior in a
unmagnetized plasma. By using the reductive perturbation technique to formulate the …

The key aim of the present study is to attain nondifferentiable solutions of extended wave
equation by making use of a local fractional derivative describing fractal strings by applying …

This study proposes a new fractal modified equal width-Burgers equation (MEWBE) with the
local fractional derivative (LFD) for the first time. By defining the Mittag-Leffler function (MLF) …