Fractional Hamilton-Jacobi Equation Within Caputo’s Derivative
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- Category: Physics
- Published: Sunday, 06 May 2012 03:00
- Written by Ibtesam Farhan AlMayteh
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Abstract
Fractional Hamilton-Jacobi Equation Within Caputo's Derivative
Ibtesam Farhan AlMayteh
Mu’tah University, 2007
In this thesis , the fractional Hmilton-Jacobi formulation for dynamical systems in terms of Caputo derivatives is studied . The fractional action function is obtained and the solutions of the equations of the motion are recovered .
Two problems are considered to demonstrate the application of the formalism . the results are found to be in exact agreement with Agrawal's formalism .