On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
From MaRDI portal
Publication:2019180
DOI10.1016/j.jmaa.2013.11.025zbMath1323.34006OpenAlexW1978109553MaRDI QIDQ2019180
Publication date: 27 March 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.11.025
Mittag-Leffler functionGreen's functionordinary differential equationsLyapunov-type inequalityfractional differential boundary value problem
Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Linear boundary value problems for ordinary differential equations (34B05) Fractional ordinary differential equations (34A08)
Related Items
Some fractional integral inequalities involving \(m\)-convex functions ⋮ Lyapunov, Hartman-Wintner and De La Vallée Poussin-type inequalities for fractional elliptic boundary value problems ⋮ Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives ⋮ Lyapunov-type inequalities for an anti-periodic fractional boundary value problem involving \(\psi\)-Caputo fractional derivative ⋮ Lyapunov-type inequalities for $(\mathtt{n},\mathtt{p})$-type nonlinear fractional boundary value problems ⋮ On a generalized Lyapunov inequality for a mixed fractional boundary value problem ⋮ LYAPUNOV TYPE INEQUALITIES AND THEIR APPLICATIONS ON AN EIGENVALUE PROBLEM FOR DISCRETE FRACTIONAL ORDER EQUATION WITH A CLASS OF BOUNDARY CONDITIONS ⋮ The existence of solutions and generalized Lyapunov-type inequalities to boundary value problems of differential equations of variable order ⋮ Lyapunov-type inequalities for Hadamard type fractional boundary value problems ⋮ Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order ⋮ Lyapunov's type inequalities for hybrid fractional differential equations ⋮ Lyapunov type inequalities for Hammerstein integral equations and applications to population dynamics ⋮ Lyapunov-type inequalities for a fractional \(p\)-Laplacian system ⋮ Lyapunov-type inequalities for Hadamard fractional differential equation under Sturm-Liouville boundary conditions ⋮ Lyapunov inequalities of nested fractional boundary value problems and applications ⋮ A generalized Lyapunov's inequality for a fractional boundary value problem ⋮ A generalized Lyapunov inequality for a higher-order fractional boundary value problem ⋮ Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities ⋮ Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative ⋮ Lyapunov-type inequalities for nonlinear differential equation with Hilfer fractional derivative operator ⋮ Hartman-Wintner-type inequality for a fractional boundary value problem via a fractional derivative with respect to another function ⋮ LYAPUNOV-TYPE INEQUALITIES FOR LOCAL FRACTIONAL DIFFERENTIAL SYSTEMS ⋮ On generalization of Fejér type inequalities via fractional integral operators ⋮ Lyapunov-type inequalities for a nonlinear sequential fractional BVP in the frame of generalized Hilfer derivatives ⋮ Unnamed Item ⋮ Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method ⋮ Hartman-Wintner-type inequalities for a class of nonlocal fractional boundary value problems ⋮ Lyapunov-type inequalities for a conformable fractional boundary value problem of order \(3 < \alpha\leq 4\) ⋮ Existence and uniqueness of mild solutions for a fractional differential equation under Sturm-Liouville boundary conditions when the data function is of Lipschitzian type ⋮ Lyapunov inequality for a Caputo fractional differential equation with Riemann–Stieltjes integral boundary conditions ⋮ A Lyapunov-type inequality for a fractional differential equation with Hadamard derivative ⋮ Lyapunov-type inequalities for fractional Langevin differential equations ⋮ On pseudo-Mittag-Leffler functions and applications ⋮ A Lyapunov-type inequality for a class of higher-order fractional boundary value problems ⋮ Recent Developments of Lyapunov–Type Inequalities for Fractional Differential Equations ⋮ A Lyapunov-type inequality for a fractional differential equation under Sturm-Liouville boundary conditions ⋮ Hartman-Wintner inequality for a Caputo fractional boundary value problem ⋮ Lyapunov-type inequality for fractional boundary value problems with Hilfer derivative ⋮ Some results on the fractional order Sturm-Liouville problems ⋮ Lyapunov-type inequalities for nonlinear fractional differential equation with Hilfer fractional derivative under multi-point boundary conditions ⋮ A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Lyapunov-type inequalities for a nonlinear fractional boundary value problem ⋮ Some discrete fractional Lyapunov-type inequalities ⋮ Lyapunov inequalities for two kinds of higher-order multi-point fractional boundary value problems ⋮ Lyapunov‐type inequalities for a class of fractional boundary value problems with integral boundary conditions ⋮ Lyapunov inequalities for two-parametric quantum Hamiltonian systems and their applications ⋮ On linear and nonlinear fractional Hadamard boundary value problems ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Positive solutions of a weakly singular periodic eco-economic system with changing-sign perturbation ⋮ Lyapunov inequality for a class of fractional differential equations with Dirichlet boundary conditions ⋮ Lyapunov-type inequalities for certain higher order fractional differential equations ⋮ Lyapunov type inequality for a nonlinear fractional hybrid boundary value problem ⋮ Novel Lyapunov-type inequalities for sequential fractional boundary value problems ⋮ A Lyapunov-type inequality for a fractional differential equation under a Robin boundary condition ⋮ Two-point fractional boundary value problems ⋮ Lyapunov inequalities of left focal \(q\)-difference boundary value problems and applications ⋮ Some results on fractional $m$-point boundary value problems ⋮ Lyapunov-type inequalities for fractional partial differential equations ⋮ Lyapunov type inequalities for a fractional thermostat model ⋮ Lyapunov-type inequality for an anti-periodic fractional boundary value problem ⋮ Two generalized Lyapunov-type inequalities for a fractional \(p\)-Laplacian equation with fractional boundary conditions ⋮ Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach ⋮ Radii of starlikeness and convexity of generalized Mittag-Leffler functions ⋮ New class of conformable derivatives and applications to differential impulsive systems ⋮ On Lyapunov-type inequalities for a certain class of partial differential equations ⋮ Lyapunov-type inequalities for a fractional \(p\)-Laplacian equation ⋮ Lyapunov-type inequality for a fractional differential equation with fractional boundary conditions ⋮ A non Green's function approach to fractional Lyapunov-type inequalities with applications to multivariate domains ⋮ Lyapunov type inequality in the frame of generalized Caputo derivatives ⋮ Lyapunov type inequalities for a fractional two‐point boundary value problem ⋮ Lyapunov inequalities for nabla Caputo boundary value problems ⋮ Lyapunov-type inequalities for nonlinear fractional differential equations and systems involving Caputo-type fractional derivatives ⋮ Lyapunov-type inequalities for sequential fractional boundary value problems using Hilfer's fractional derivative ⋮ Hartman-Wintner type inequalities for a class of fractional BVPs with higher order ⋮ Lyapunov-type inequality for nonlinear systems with Riemann-Liouville fractional derivatives ⋮ Lyapunov-type inequality and solution for a fractional differential equation ⋮ Lyapunov-type inequalities for differential equation with Caputo-Hadamard fractional derivative under multipoint boundary conditions ⋮ Lyapunov-type inequalities for Riemann-Liouville type fractional boundary value problems ⋮ Unnamed Item ⋮ A new fractional boundary value problem and Lyapunov-type inequality ⋮ Lyapunov-type inequalities for fractional differential operators with non-singular kernels ⋮ Lyapunov-type inequalities for fractional differential equations under multi-point boundary conditions ⋮ Lyapunov-type inequality for the Hadamard fractional boundary value problem on a general interval [a, b] ⋮ Fractional de la Vallée Poussin inequalities ⋮ Green's functions, positive solutions, and a Lyapunov inequality for a Caputo fractional-derivative boundary value problem ⋮ Unnamed Item ⋮ Analysis of some Katugampola fractional differential equations with fractional boundary conditions ⋮ Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions ⋮ Lyapunov-type inequality for a Riemann-Liouville type fractional boundary value problem with anti-periodic boundary conditions ⋮ Hartman-Wintner and Lyapunov-type inequalities for high order fractional boundary value problems ⋮ Lyapunov-type inequalities for a class of fractional differential equations
Cites Work
This page was built for publication: On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
