On Liapunov-type inequality for certain higher-order differential equations

Hartman-Wintner-Type Inequality for a Fractional Boundary Value Problem via a Fractional Derivative with respect to Another Function

“…Many other generalizations and extensions of inequality (3) exist in the literature; see, for instance, [7,[13][14][15][16][17][18][19][20][21][22] and references therein. Due to the positive impact of fractional calculus on several applied sciences (see, for instance, [23]), several authors investigated Lyapunov-type inequalities for various classes of fractional boundary value problems.…”

Lyapunov-type inequalities for a class of even-order differential equations

“…In this article, motivated by the references [15][16][17][18], we attempt to establish some sharper Lyapunov-type inequalities for (1.4) under the same boundary value conditions of Theorem 1.1.…”

Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives

“…The classical Lyapunov inequality [23] is related to the second order linear differential equation Inequality (1.5) has found many practical applications in the theory of differential equations (see, for example, [2,5,22,32,34] and the references therein). For more improvements and generalizations of (1.5), we refer to [1,4,6,10,13,24,[28][29][30]33] and the references therein. On the other hand, due to the great attention which has been given in these last years to fractional calculus, several results related to the study of Lyapunovtype inequalities for fractional differential equations were obtained.…”