Hamilton-Jacobi Fractional Sequential Mechanics

Abstract

As a continuation of Rabei et al. work [11], the Hamilton- Jacobi partial differential equation is generalized to be applicable for systems containing fractional derivatives. The Hamilton- Jacobi function in configuration space is obtained in a similar manner to the usual mechanics. Two problems are considered to demonstrate the application of the formalism. The result found to be in exact agreement with Agrawal's formalism.

12 pages

References in corpus (1)

• Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives

Cited by in corpus (6)

• A Fractional Calculus of Variations for Multiple Integrals with Application to Vibrating String
• Fractional calculus of variations for a combined Caputo derivative
• Towards a combined fractional mechanics and quantization
• Composition Functionals in Fractional Calculus of Variations
• Riemann-Liouville Fractional Einstein Field Equations
• Fractional variational calculus in terms of a combined Caputo derivative