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Sequential Caputo Fractional Sub-hyperbolic Dynamic Equations in one dimensional Space with Numerical Applications

Last modified: 2020-02-17

#### Abstract

In this work we recall the representation form of the solution of sequential Caputo sub-hyperbolic nonhomogeneous differential equation in one dimensional space with Dirichlet boundary conditions. This was achieved using the eigenfunction expansion method. We use sequential Caputo fractional derivative since the integer derivative is sequential. Our solution yields the integer result as a special case. However, the fractional derivative is global in nature whereas the integer derivative is local in nature. We present numerical examples for different values of the fractional order derivative which tends to the solution of the integer order result as the fractional order tends to an integer.