Fractional Calculus in Applied Mechanics

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

Deadline for manuscript submissions: closed (30 September 2023) | Viewed by 984

Special Issue Editor


E-Mail Website
Guest Editor
Applied Mathematics and Physics applications, National Technical University of Athens, 14 Theatrou Str., Rafina 19009, Greece
Interests: finite elasticity; continuum mechanics; elastic stability theory; biomechanics; micromechanics; fractional analysis; experimental method of caustics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The field of fractional order systems has recently developed the ambition to simulate the behavior of real systems, expressing non-local theories with respect not only to time but also to space. Time and space fractional systems in applied mechanics will be presented in the context of non-local mechanics. New fractional procedures, completely conforming to the differential calculus, will also be presented. Various fields concerning solid mechanics, fluid mechanics, viscoelasticity, rigid body mechanics, biomechanics, stability, vibrations and relativistic mechanics will be discussed in the context of fractional calculus.

Topics:

  • Fractional Solid Mechanics
  • Fractional Fluid Mechanics
  • Fractional Rigid mechanics
  • Fractional Viscoelasticity
  • Fractional Peridynamics
  • Fractional Biomechanics
  • Fractional Stability in Mechanics
  • Fractional Relativistic Mechanics
  • Fractional Liquid Crystals Mechanics.

Dr. Konstantinos A. Lazopoulos
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 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 2700 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)

Order results
Result details
Select all
Export citation of selected articles as:

Research

10 pages, 1998 KiB  
Article
Stability Criteria and Λ-Fractional Mechanics
by Konstantinos A. Lazopoulos
Fractal Fract. 2023, 7(3), 248; https://doi.org/10.3390/fractalfract7030248 - 09 Mar 2023
Cited by 8 | Viewed by 733
Abstract
Global stability criteria for Λ-fractional Mechanics are established. The fractional extension of a bar under axial loading is discussed. Globally minimizing the total energy function, non-smooth deformations are introduced. The co-existence of phases phenomenon is established in Λ-fractional elasticity. It is pointed out [...] Read more.
Global stability criteria for Λ-fractional Mechanics are established. The fractional extension of a bar under axial loading is discussed. Globally minimizing the total energy function, non-smooth deformations are introduced. The co-existence of phases phenomenon is established in Λ-fractional elasticity. It is pointed out that global minimization only is valid in fractional analysis. Full article
(This article belongs to the Special Issue Fractional Calculus in Applied Mechanics)
Show Figures

Figure 1

Back to TopTop