... 02 06 2009 18 02 2010 18 02 2010 integral equations partial differential equations telegraphy evolutionary integral equation fractional order derivative telegraph equation Suspension flows are traditionally modeled by parabolic partial differential equations ( 8...

.... A. , and El-Bary , A. A. , 2006 , “ Existence of Fractional Integral Equation With Hysteresis ,” Appl. Math. Comput. 0096-3003 , 176 , pp. 684 – 687 . 10.1016/j.amc.2005.10.014 Schafer , I. , and Kruger , K. , 2006 , “ Modeling of Coils Using Fractional Derivatives ,” J. Magn. Magn...

... with the approximate one obtained with Ritz’s method. 07 10 2008 13 05 2009 18 11 2009 18 11 2009 integral equations optimisation variational techniques extremum path nonsimultaneous variation brachistochrone with a movable end-point The classical brachistochrone problem...

..., and the numerical method presented is available for the stability and bifurcation analysis of the complicated gas film-rotor dynamic system. bifurcation finite element analysis integral equations machine bearings nonlinear dynamical systems Poincare mapping rotors stability gas bearings rotor...

.... 141 – 151 . Haessig , D. , and Friedland , B. , 1991 , “ On the Modeling and Simulation of Friction ,” ASME J. Dyn. Syst., Meas., Control 0022-0434 , 113 , pp. 354 – 362 . 12 05 2006 10 09 2006 impact (mechanical) integral equations stiction Three...

... to reduce an FDE into a Volterra-type integral equation. The entire domain is divided into several small domains, and the distribution of the unknown function over the domain is expressed in terms of the function values and its slopes at the node points. These approximations are then substituted...