This study reports generalized inequalities for Caputo fractional differential equations, suggesting significant implications for disconjugacy analysis under boundary conditions.
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.
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Cherikh et al. (2025) studied this question.
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