Lyapunov- and Hartman-Type Inequalities for Generalized Caputo Fractional Differential Equations Incorporating Forcing Terms

Abstract

In this study, we construct the generalized Lyapunov- and Hartman-type inequalities for both linear and nonlinear generalized Caputo fractional differential equations under Dirichlet-type boundary conditions. By leveraging these inequalities, we can establish important results related to disconjugacy for the fractional differential equations. The inequalities we propose not only generalize but also enrich existing research in the literature, effectively addressing exceptional cases of fractional differential equations