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On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS

− This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and eigenfunctions