Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach

Mohamed Jleli; Donal O’Regan; Bessem Samet

doi:10.1007/s11784-019-0683-1

Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach

Mohamed Jleli, Donal O’Regan, Bessem Samet

Mathematics

King Saud University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

We consider a coupled system of nonlinear fractional differential equations under Dirichlet boundary conditions. Using Perov’s fixed point theorem, we establish a Lyapunov-type inequality for the problem considered. Next, some special cases are discussed and an application to generalized eigenvalue problems is presented.

Original language	English
Article number	45
Journal	Journal of Fixed Point Theory and Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.1007/s11784-019-0683-1
Publication status	Published - 1 Jun 2019

Keywords

Caputo fractional derivative
Lyapunov-type inequalities
coupled system
fixed point
generalized eigenvalues

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10.1007/s11784-019-0683-1

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title = "Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach",

abstract = "We consider a coupled system of nonlinear fractional differential equations under Dirichlet boundary conditions. Using Perov{\textquoteright}s fixed point theorem, we establish a Lyapunov-type inequality for the problem considered. Next, some special cases are discussed and an application to generalized eigenvalue problems is presented.",

keywords = "Caputo fractional derivative, Lyapunov-type inequalities, coupled system, fixed point, generalized eigenvalues",

author = "Mohamed Jleli and Donal O{\textquoteright}Regan and Bessem Samet",

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AU - Jleli, Mohamed

AU - O’Regan, Donal

AU - Samet, Bessem

PY - 2019/6/1

Y1 - 2019/6/1

N2 - We consider a coupled system of nonlinear fractional differential equations under Dirichlet boundary conditions. Using Perov’s fixed point theorem, we establish a Lyapunov-type inequality for the problem considered. Next, some special cases are discussed and an application to generalized eigenvalue problems is presented.

AB - We consider a coupled system of nonlinear fractional differential equations under Dirichlet boundary conditions. Using Perov’s fixed point theorem, we establish a Lyapunov-type inequality for the problem considered. Next, some special cases are discussed and an application to generalized eigenvalue problems is presented.

KW - Caputo fractional derivative

KW - Lyapunov-type inequalities

KW - coupled system

KW - fixed point

KW - generalized eigenvalues

UR - https://www.scopus.com/pages/publications/85062614462

U2 - 10.1007/s11784-019-0683-1

DO - 10.1007/s11784-019-0683-1

M3 - Article

SN - 1661-7738

VL - 21

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

IS - 2

M1 - 45

ER -

Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach

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Keywords

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