Fractional Action-Like Variational Problems
Rami Ahmad El-Nabulsi, Delfim F. M. Torres
TL;DR
This paper explores multi-dimensional fractional action-like variational problems, expanding the calculus of variations to better understand nonconservative systems with fractional dynamics.
Contribution
It introduces a framework for multi-dimensional fractional variational problems, advancing the mathematical tools for analyzing nonconservative systems.
Findings
Developed a new formulation for multi-dimensional fractional variational problems.
Extended fractional calculus of variations to nonconservative systems.
Provided potential applications in physics and engineering.
Abstract
Fractional action-like variational problems have recently gained importance in studying dynamics of nonconservative systems. In this note we address multi-dimensional fractional action-like problems of the calculus of variations.
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