Lyapunov type inequality in the frame of Generalized caputo derivatives

Abstract

In this paper, we establish the Lyapunov-type inequality for bound- A ry value problems involving generalized Caputo fractional derivatives that unite the Caputo and Caputo-Hadamrad fractional derivatives. An applica-tion about the zeros of generalized types of Mittag-Leffler functions is given. © 2021 American Institute of Mathematical Sciences. All rights reserved.