S. Chakraverty
National Institute of Technology Rourkela, Department of Mathematics, Odisha, Rourkela, 769008, India
[ 1 ] - Residual Power Series Method for Solving Time-fractional Model of Vibration Equation of Large Membranes
The primary aim of this manuscript is to present the approximate analytical solutions of the time fractional order α (1<α≤2) Vibration Equation (VE) of large membranes with the use of an iterative technique namely Residual Power Series Method (RPSM). The fractional derivative is defined in the Caputo sense. Example problems have been solved to demonstrate the efficacy of the present method and ...
[ 2 ] - Dynamic Response Analysis of Fractionally Damped Beams Subjected to External Loads using Homotopy Analysis Method
This paper examines the solution of a damped beam equation whose damping characteristics are well-defined by the fractional derivative (FD). Homotopy Analysis Method (HAM) is applied for calculating the dynamic response (DR). Unit step and unit impulse functions are deliberated for this analysis. Acquired results are illustrated to show the movement of the beam under various sets of parameters ...
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