2.1 Integral transforms.......................... 5 2.1. 1 Laplace transform...................... 5 2.1. 2
Exponential Fourier transform............... 8 2.1. 3 Sin-Fourier transform.................... 10 2.1. 4 …

Fractional differential equations have been investigated by variational iteration method.
However, the previous works avoid the term of fractional derivative and handle them as a …

An inverse source problem for a fractional diffusion equation is investigated. Under an
assumption that the unknown source term is time independent, an analytical solution can be …

This paper mainly discusses a novel conceptual framework: fractional Hopfield neural
networks (FHNN). As is commonly known, fractional calculus has been incorporated into …

In recent years, the research of artificial neural networks based on fractional calculus has
attracted much attention. In this paper, we proposed a fractional‐order deep …

This paper discusses a novel conceptual formulation of the fractional-order variational
framework for retinex, which is a fractional-order partial differential equation (FPDE) …

We present a distributed-order fractional diffusion-wave equation (dofDWE) to describe
radial groundwater flow to or from a well, and three sets of solutions of the dofDWE for flow …

In this paper a time fractional Fourier law is obtained from fractional calculus. According to
the fractional Fourier law, a fractional heat conduction equation with a time fractional …

We introduce the fractional-order global optimal backpropagation machine, which is trained
by an improved fractional-order steepest descent method (FSDM). This is a fractional-order …

In this work, Fractional Optimal Control Problem (FOCP) of a Distributed system is
investigated in cylindrical coordinates. Axis-symmetry naturally arises in the problem …