This review is an elementary introduction to the concepts of the recently developed
asymptotic methods and new developments. Particular attention is paid throughout the …

Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

Classic Newtonian mechanics assumes that space and time are continuous everywhere.
The basic physical quantities (eg speed, acceleration and force) can be described by an …

Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …

In this article, a general formulation for the fractional-order Legendre functions (FLFs) is
constructed to obtain the solution of the fractional-order differential equations. Fractional …

The main goal in this article is synchronization of fractional-order uncertain chaotic systems
in the finite time. For this aim, a terminal sliding mode controller with fractional sliding …

The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

Fractional differential equations have recently been applied in various area of engineering,
science, finance, applied mathematics, bio-engineering and others. However, many …

Haar wavelet operational matrix has been widely applied in system analysis, system
identification, optimal control and numerical solution of integral and differential equations. In …

Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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