Variational approach and deformed derivatives

DOI10.1016/j.physa.2015.12.145zbMath1400.82142arXiv1511.02835OpenAlexW2176757739MaRDI QIDQ1619306

R. Smith

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02835

zbMATH Keywords

variational principleposition-dependent massgeneralized statistical mechanicsdeformed derivativesfractal continuummetric derivatives

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Optimality conditions for free problems in one independent variable (49K05)

Related Items

Positive solutions of conformable fractional differential equations with integral boundary conditions, Generalized conformable variational calculus and optimal control problems with variable terminal conditions, A deformed derivative model for turbulent diffusion of contaminants in the atmosphere, Fluctuation theorems in \(q\)-canonical ensembles, Fractional variational problems on conformable calculus, Steady laminar flow of fractal fluids, Fractional space approach to studies of physical phenomena on fractals and in confined low-dimensional systems, Existence of positive solutions for a class of conformable fractional differential equations with integral boundary conditions and a parameter, Calculus of variations and optimal control with generalized derivative, Mapping physical problems on fractals onto boundary value problems within continuum framework, Dual conformable derivative: definition, simple properties and perspectives for applications, Basic theory of initial value problems of conformable fractional differential equations, Generalized nonlinear Schrödinger equation: Conservation of energy and solitary-wave solutions, Discussing the extension and applications of a variational approach with deformed derivatives

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