Stability Criteria and Λ-Fractional Mechanics-Reference-Cited by-同舟云学术

Stability Criteria and Λ-Fractional Mechanics

Published:2023-03-09 Issue:3 Volume:7 Page:248
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Lazopoulos Konstantinos A.¹

Affiliation:

1. Applied Mathematics and Physics Applications, National Technical University of Athens, 14 Theatrou Str., 19009 Rafina, Greece

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 that global minimization only is valid in fractional analysis.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/3/248/pdf

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4. Mainardi, F. (2010). Fractional Calculus and Waves in Linear Viscoelasticity, Imperial College Press.

5. Nonlocal continuum mechanics and fractional calculus;Lazopoulos;Mech. Res. Commun.,2006

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