Lyapunov inequality for a Caputo fractional differential equation with Riemann–Stieltjes integral boundary conditions

In this a Lyapunov-type inequality is obtained for the fractional differential equation with Caputo derivative (Figure presented.) together with the boundary conditions (Figure presented.) where (Figure presented.) are functions of bounded variation, (Figure presented.), and (Figure presented.) are nonnegative constants, and (Figure presented.) is a continuous function. We have divided the Greens function of this problem into two parts, and their upper bounds are obtained separately in order to obtain our results. The classical celebrated result of Lyapunov has become a consequence of our result.