an efficient algorithm for solving fractional sturm-liouville differential 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 differential equations with a constant delay into a linear system of algebraic equations, wecan obtain the corresponding polynomial characteristic equations for kinds of boundary conditions based on the polynomial expansion and integral technique. then, theeigenvalues can be calculated by finding the roots of the corresponding characteristic polynomial. the numerical results demonstrate reliability and efficiency of theproposed algorithm