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

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

Journal article

Peer reviewed

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

Mohamed Jleli, Donal O'Regan and Bessem Samet

Journal of fixed point theory and applications, Vol.21(2), pp.1-15

01/06/2019

DOI: https://doi.org/10.1007/s11784-019-0683-1

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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.

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Title: Lyapunov-type inequalities for coupled systems of nonlinear fractional differential equations via a fixed point approach
Creators - without role: Mohamed Jleli - King Saud University
Donal O'Regan - Ollscoil na Gaillimhe – University of Galway
Bessem Samet - King Saud University
Publication Details: Journal of fixed point theory and applications, Vol.21(2), pp.1-15
Publisher: Springer Nature
Number of pages: 15
Grant note: 0027 / International Scientific Partnership Program ISPP at King Saud University
Identifiers: 9946433908331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article