Special Issue "2019 Selected Papers from Fractal Fract’s Editorial Board Members"

A special issue of Fractal and Fractional (ISSN 2504-3110).

Deadline for manuscript submissions: 31 December 2019

Special Issue Editor

Guest Editor
Prof. Dr. Carlo Cattani

1. Engineering School (DEIM), University of Tuscia, Largo dell'Università, 01100 Viterbo, Italy
2. Ton Duc Thang University, HCMC, Vietnam
Website | E-Mail
Phone: +39 3207406560
Interests: wavelets; fractals; fractional calculus; dynamical systems; data analysis; time series analysis; image analysis; computer science; computational methods; composite materials; elasticity; nonlinear waves

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. 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 acceptance into ESCI (WoS), 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 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) is waived for well-prepared manuscripts submitted to this issue. 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 (2 papers)

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Research

Open AccessArticle
Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings
Fractal Fract 2019, 3(2), 26; https://doi.org/10.3390/fractalfract3020026
Received: 13 April 2019 / Revised: 4 May 2019 / Accepted: 7 May 2019 / Published: 11 May 2019
Cited by 1 | PDF Full-text (1376 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation within local fractional derivative operators (LFDOs). The efficiency [...] Read more.
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation within local fractional derivative operators (LFDOs). The efficiency of the considered methods are illustrated by some examples. The results obtained by LFLVIM and LFLDM are compared with the results obtained by LFVIM. The results reveal that the suggested algorithms are very effective and simple, and can be applied for linear and nonlinear problems in sciences and engineering. Full article
(This article belongs to the Special Issue 2019 Selected Papers from Fractal Fract’s Editorial Board Members)
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Open AccessArticle
Residual Power Series Method for Fractional Swift–Hohenberg Equation
Fractal Fract 2019, 3(1), 9; https://doi.org/10.3390/fractalfract3010009
Received: 20 February 2019 / Revised: 5 March 2019 / Accepted: 6 March 2019 / Published: 7 March 2019
Cited by 2 | PDF Full-text (4452 KB) | HTML Full-text | XML Full-text
Abstract
In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H) equation has been investigated with the help of the residual power series method (RPSM). To ensure the applicability and efficiency of the proposed technique, we consider a non-linear fractional order Swift–Hohenberg [...] Read more.
In this paper, the approximated analytical solution for the fractional Swift–Hohenberg (S–H) equation has been investigated with the help of the residual power series method (RPSM). To ensure the applicability and efficiency of the proposed technique, we consider a non-linear fractional order Swift–Hohenberg equation in the presence and absence of dispersive terms. The effect of bifurcation and dispersive parameters with physical importance on the probability density function for distinct fractional Brownian and standard motions are studied and presented through plots. The results obtained show that the proposed technique is simple to implement and very effective for analyzing the complex problems that arise in connected areas of science and technology. Full article
(This article belongs to the Special Issue 2019 Selected Papers from Fractal Fract’s Editorial Board Members)
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