Special Issue "Fractal Analysis and Non-conventional Methods for Solid and Fluid Mechanics"

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

Deadline for manuscript submissions: 5 September 2022 | Viewed by 520

Special Issue Editors

Prof. Dr. Wojciech Sumelka
E-Mail Website
Guest Editor
Institute of Structural Engineering, Poznan University of Technology, Piotrowo 5 Street, 60-965 Poznan, Poland
Interests: fractional mechanics; constitutive modelling; extreme dynamics; theoretical mechanics; continuum mechanics
Dr. Tomasz Blaszczyk
E-Mail Website1 Website2
Guest Editor
Department of Mathematics, Czestochowa University of Technology, Częstochowa, Poland
Interests: fractional mechanics; fractional calculus; numerical analysis
Prof. Dr. Jacek Leszczynski
E-Mail Website1 Website2
Guest Editor
Faculty of Energy and Fuels, Department of Thermal and Fluid Flow Machines, AGH University of Science and Technology, Krakow, Poland
Interests: complex systems; granular flows/mechanics; energy efficiency; anomalous diffusion; DEM; fractional calculus; power industry; air pollution
Prof. Dr. Giuseppe Failla
E-Mail Website
Guest Editor
Department of Civil, Energy, Environment and Materials Engineering, University of Reggio Calabria, Reggio Calabria, Italy
Interests: nonlocal elasticity; fractional viscoelasticity; wave propagation in elastic media; dynamics of offshore wind turbines; vibration mitigation; stochastic dynamics of nonlinear systems; complex modal analysis; wavelets analysis

Special Issue Information

Dear Colleagues,

The 15th World Congress on Computational Mechanics and 8th Asian Pacific Congress on Computational Mechanics (WCCM-APCOM 2022) are to be held in Yokohama, Japan, 31 July to 5 August 2022. This Special Issue is in collaboration with Session 1201 NON-CONVENTIONAL METHODS FOR SOLID AND FLUID MECHANICS (NMSFM). The minisymposium focuses on non-conventional techniques for solid and fluid mechanics, including experimental, theoretical, and computational aspects. Attention is focused on heterogeneous/multiscale/multiphase/multifunctional materials and fluids and their behaviours, especially in the framework of coupled field problems.


  1. Non-conventional theoretical techniques for description of heterogeneous/multiscale/multiphase/multifunctional materials and fluids:
    • fractional continuum mechanics;
    • tolerance and non-asymptotic modelling;
    • peridynamics;
    • fractal media;
    • nonlocal continuum;
    • relativistic continuum mechanics, etc.;
  2. non-conventional techniques for solving coupled field problems for heterogeneous/multiscale/multiphase/multifunctional materials and fluids (computational aspects including implementation and hardware/software point of views);
  3. new set-ups for experimental testing of heterogeneous/multiscale/multiphase/multifunctional materials and fluids (miniaturised equipment, digital imaging, etc.).

Interesting contributions from WCCM-APCOM 2022 and other researchers who work in this field are both welcome!

Prof. Dr. Wojciech Sumelka
Dr. Tomasz Blaszczyk
Prof. Dr. Jacek Leszczynski
Prof. Dr. Giuseppe Failla
Guest Editors

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 submissions that pass pre-check are 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 monthly 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.


  • fractal analysis
  • fractal media
  • heterogeneous materials
  • multiscale materials
  • multiphase materials
  • multifunctional materials
  • non-conventional methods
  • fractional continuum mechanics

Published Papers (1 paper)

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Applications of Prabhakar-like Fractional Derivative for the Solution of Viscous Type Fluid with Newtonian Heating Effect
Fractal Fract. 2022, 6(5), 265; https://doi.org/10.3390/fractalfract6050265 - 12 May 2022
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This article examines a natural convection viscous unsteady fluid flowing on an oscillating infinite inclined plate. The Newtonian heating effect, slip effect on the boundary wall, and constant mass diffusion conditions are also considered. In order to account for extended memory effects, the [...] Read more.
This article examines a natural convection viscous unsteady fluid flowing on an oscillating infinite inclined plate. The Newtonian heating effect, slip effect on the boundary wall, and constant mass diffusion conditions are also considered. In order to account for extended memory effects, the semi-analytical solution of transformed governed partial differential equations is attained with the help of a recent and more efficient fractional definition known as Prabhakar, like a thermal fractional derivative with Mittag-Leffler function. Fourier and Fick’s laws are also considered in the thermal profile and concentration field solution. The essentials’ preliminaries, fractional model, and execution approach are expansively addressed. The physical impacts of different parameters on all governed equations are plotted and compared graphically. Additionally, the heat transfer rate, mass diffusion rate, and skin friction are examined with different numerical techniques. Consequently, it is noted that the variation in fractional parameters results in decaying behavior for both thermal and momentum profiles while increasing with the passage of time. Furthermore, in comparing both numerical schemes and existing literature, the overlapping of both curves validates the attained solution of all governed equations. Full article
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