The plan of this study is to construct analytical exact solutions of space-time fractional
Calogero-Degasperis equation and space-time fractional Sharma-Tasso-Olver equation …

This paper addresses the new general fractional derivatives (GFDs) involving the kernels of
the extended Mittag-Leffler type functions (MLFs). With the aid of the GFDs in the MLF …

In this article, two local fractional rheological models via spring and dashpot elements in the
one-dimensional case are proposed for the first time. The creep and relaxation behaviors of …

In this paper, we consider new fractional-order Maxwell and Voigt models within the
framework of the general fractional derivatives (GFDs). The operators are considered in the …

One of the issues in numerical solution analysis is the non-linear distributed-order fractional
Bagley–Torvik differential equation (DO-FBTE) with boundary and initial conditions. We …

In this paper, the variational iteration method (VIM) is applied to solve the time and space-
time fractional Burgers' equation for various initial conditions. VIM solutions are computed for …

We consider the local fractional Klein–Gordon equation and Helmholtz equation in (1+ 1)
fractal dimensional space. The local fractional Laplace series expansion method is used to …

Two different numerical methods are developed to find approximate solutions of a class of
linear fractional differential equations (LFDEs) appearing in the study of the generalized …

The main aim of this paper is to introduce an accurate collocation method for solving a class
of variable-order fractional differential equations arising in turbulent fluid dynamics. The …

Duffing systems are a pattern for illustrating various physical processes and dynamical
systems. These systems can be accurately modeled by fractionalorder equations. In this …