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Fractal Fract
Special Issues
2021 Feature Papers by Fractal Fract's Editorial Board Members
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Special Issue "2021 Feature Papers by Fractal Fract's Editorial Board Members"

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".

Deadline for manuscript submissions: 26 December 2021.

Special Issue Editor

Prof. Dr. Carlo Cattani
E-Mail Website
SciProfiles
Guest Editor
Engineering School (DEIM), University of Tuscia, Largo dell'Università, 01100 Viterbo, Italy
Interests: wavelets; fractals; fractional calculus; dynamical systems; data analysis; time series analysis; image analysis; computer science; computational methods; composite materials; elasticity; nonlinear waves
Special Issues and Collections in MDPI journals

Special Issue Information

Dear Colleagues,

I am pleased to announce a new Special Issue that is quite different from our typical ones, which mainly focus on either selected areas of research or special techniques. Being creative in many ways, with this Special Issue, Fractal Fract is compiling a collection of papers submitted exclusively by its Editorial Board Members (EBMs) covering different areas of fractals and fractional calculus in 2021. The main idea behind this Special Issue is to turn the tables and allow our readers to be the judges of our board members. With this Special Issue, we also want to celebrate our first impact factor of 3.313, which we earned due to years of hard work, dedication, and commitment from our EBMs.

Our new Special Issue can be also viewed as a way of introducing Fractal Fract’s EBMs to top-notch researchers, so they will consider our journal as a first-class platform for exchanging their scientific research.

Prof. Dr. Carlo Cattani
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (1 paper)

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Research

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Article
Numerical Solutions of Fractional Differential Equations by Using Laplace Transformation Method and Quadrature Rule
by
Samaneh Soradi-Zeid
,
Mehdi Mesrizadeh
and
Carlo Cattani
Fractal Fract. 2021, 5(3), 111; https://doi.org/10.3390/fractalfract5030111 - 07 Sep 2021
Viewed by 145
Abstract
This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace transform method to transcribe the fractional [...] Read more.
This paper introduces an efficient numerical scheme for solving a significant class of fractional differential equations. The major contributions made in this paper apply a direct approach based on a combination of time discretization and the Laplace transform method to transcribe the fractional differential problem under study into a dynamic linear equations system. The resulting problem is then solved by employing the numerical method of the quadrature rule, which is also a well-developed numerical method. The present numerical scheme, which is based on the numerical inversion of Laplace transform and equal-width quadrature rule is robust and efficient. Some numerical experiments are carried out to evaluate the performance and effectiveness of the suggested framework. Full article
(This article belongs to the Special Issue 2021 Feature Papers by Fractal Fract's Editorial Board Members)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

1. Lyapunov method for almost periodic solutions of fractional-order impulsive gene regulatory networks
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