Numerical results for sequential sub hyperbolic equation in one dimensional space

Abstract

Recently, we have obtained a representation form for the solution of sequential Caputo fractional nonhomogeneous sub-hyperbolic differential equation with fractional initial conditions and nonhomogeneous Dirichlet boundary conditions. The integral representation form which involves fractional trigonometric functions yields the integer hyperbolic equation as a special case. In this work, using the representation form, we have obtained numerical solution for sequential sub-hyperbolic differential equation for different values of the order of fractional derivative including the integer derivative. Numerically, we have established the numerical solution continuously depends on the order of the fractional derivative.