Nonholonomic Constraints with Fractional Derivatives

TL;DR

This paper introduces a fractional calculus approach to nonholonomic constraints, deriving equations of motion with fractional derivatives and illustrating the method through examples.

Contribution

It presents a novel fractional generalization of nonholonomic constraints and derives their equations of motion using variational principles.

Findings

Fractional derivatives can be used to generalize nonholonomic constraints.

Derived equations of motion for fractional nonholonomic systems.

Provided examples illustrating the fractional approach.

Abstract

We consider the fractional generalization of nonholonomic constraints defined by equations with fractional derivatives and provide some examples. The corresponding equations of motion are derived using variational principle.