July 2002 - 020702
Fractional derivatives and their applications: recent papers by Om Prakash Agrawal

Professor Om Prakash Agrawal
Mechanical Engineering and Energy Processes
Southern Illinois University in Carbondale
Carbondale, Illinois 62901

Email: om@engr.siu.edu

Agrawal, O. P., 2002, "Stochastic Analysis of a 1-D System with Fractional Damping of Order 1/2," Transactions of the ASME, Journal of Vibration and Acoustics, to appear.

Yuan, L and Agrawal, O. P., 2002, "A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives," Transactions of the ASME, Journal of Vibration and Acoustics, Vol. 124, pp. 321-324. (Also in Proceedings of DETC'98, 1998 ASME Design Engineering Technical Conferences, September 13-16, 1998, Atlanta, Georgia).

Agrawal, O. P., 2001, " Lagrangian and Lagrange equation of motion for fractionally damped systems," Transactions of the ASME, Journal of Applied Mechanics, Vol. 68, No. 2, pp. 339-341 (Also in Proceeding of the ASME-IMEC, International Mechanical Engineering Congress & Exposition Winter Annual Meeting, Nashville, Tennessee, Nov. 14-19, 1999).

Agrawal, O. P., 2001, "A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded space domain," Computers and Structures, Vol. 79, pp. 1497-1501.

Agrawal, O. P., 2001, "Stochastic Analysis of Dynamic Systems Containing Fractional Derivatives," Journal of Sound and Vibration, Vol. 247, No. 5, pp. 927-938.

Agrawal, O. P., 2001, "Stochastic Analysis of a Fractionally Damped Beam," Paper No. DETC2001/VIB-21365, Proceedings of DETC2001, ASME Design Engineering Technical Conferences, September 9-12, 2001, Pittsburgh, Pennsylvania, USA.

Agrawal, O. P., 2000, "A General Solution for the Fourth-Order Fractional Diffusion- Wave Equation, Fractional Calculus and Applied Analysis, Vol. 3, No. 1, pp. 1-12.

Agrawal, O. P., 2000, "A General Solution for Fractional Diffusion-Wave Equations Defined in Finite Space Domain," the International Mechanical Engineering Congress & Exposition (IMECE) Winter Annual Meeting of the ASME, Orlando, Florida, November 5-10, 2000.

Agrawal, O. P., 1999, "An Analytical Scheme for Stochastic Dynamic Systems Containing Fractional Derivatives," Paper No. DETC99/VIB-8283, Proceedings of the ASME Design Engineering Technical Conferences, Las Vegas, Nevada, September 12- 15, 1999.