Stability Criteria and Λ-Fractional Mechanics
Konstantinos A. Lazopoulos
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.
Topics & Concepts
Fractional calculusMathematicsStability (learning theory)Elasticity (physics)Extension (predicate logic)Applied mathematicsMathematical analysisMechanicsPhysicsComputer scienceThermodynamicsMachine learningProgramming languageFractional Differential Equations SolutionsNumerical methods in engineeringNonlocal and gradient elasticity in micro/nano structures