Abstract The Korteweg-de Vries equation (KdV) and the (2+ 1)-dimensional Nizhnik-Novikov-
Veselov system (NNV) are presented. Multi-soliton rational solutions of these equations are …

In this article, a model for cancer treatment is examined. The model is integrated into the
Caputo-Fabrizio fractional derivative first, to examine the existence of the solution. Then, the …

In the paper, a combined form of the Sumudu transform method with the Adomian
decomposition method in the sense of local fractional derivative, is proposed to solve …

Local fractional calculus is used to derive fractional partner of the KdV–Burgers–Kuramoto
equation, its physical understanding is elucidated and its solution properties are revealed …

At a microgravity condition, a spaceflight might be subject to a microgravity‐induced
vibration. There is no theory so far to study the effect of microgravity on the vibration …

A new technique for modelling the fractional model of Casson fluid is used. More exactly, the
Caputo fractional model has been developed using the generalized Fick's and Fourier's …

In this article, we study the time‐fractional nonlinear Klein–Gordon equation in Caputo–
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …

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 article, we first propose a new numerical technique based upon a certain two-
dimensional extended differential transform via local fractional derivatives and derive its …

In this paper, we utilize local fractional reduced differential transform (LFRDTM) and local
fractional Laplace variational iteration methods (LFLVIM) to obtain approximate solutions for …