Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions

Date

2017-09-06

Authors

Dhar, Sougata
Kong, Qingkai

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We study linear fractional boundary value problems consisting of an α-th order Riemann-Liouville fractional differential equation with 2 < α < 3 and certain fractional boundary conditions. We derive several Lyapunov-type inequalities and apply them to establish nonexistence, uniqueness, and existence-uniqueness of solutions for related homogeneous and nonhomogeneous linear fractional boundary value problems. As a special case, our work extends some existing results for third-order linear boundary value problems.

Description

Keywords

Fractional differential equations, Fractional boundary conditions, Lyapunov-type inequalities, Boundary value problems, Existence and uniqueness of solutions

Citation

Dhar, S., & Kong, Q. (2017). Lyapunov-type inequalities for α-th order fractional differential equations with 2 < α < 3 and fractional boundary conditions. <i>Electronic Journal of Differential Equations, 2017</i>(203), pp. 1-15.

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Attribution 4.0 International

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