An efficient algorithm for solving fractional Sturm-Liouvilledifferential operators with a constant delay

In this manuscript, we present a simple and efficient computational algorithm forsolving eigenvalue problems of fractional second-order differential operators with aconstant delay inside the interval. By transforming the governing fractional differentialequations with a constant delay into a linear system of algebraic equations, wecan obtain the corresponding polynomial characteristic equations for kinds of boundaryconditions based on the polynomial expansion and integral technique. Then, theeigenvalues can be calculated by finding the roots of the corresponding characteristicpolynomial. The numerical results demonstrate reliability and efficiency of theproposed algorithm.

کلیدواژه ها:

Fractional Sturm–Liouville problems ، Eigenvalues ، Eigenfunctions ، Delaydifferential equations ، Polynomial expansion