Solving one dimensional time-space fractional vibration string equation

Abstract

The article presents a solution for the one-dimensional space-time fractional vibration equation (FVE) by the separation of variables method (Fourier method). We describe the fractional derivatives in the sense of Caputo and Riemann-Liouville operators. Our method performs in the extreme well in terms of simplicity and efficiency. A sample of the problem of structural mechanics has been considered. This sample allows the demonstration of some advantages of the application of the suggested approach to solve the fractional vibration equation.