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THE EXISTENCE OF POSITIVE SOLUTIONS AND A LYAPUNOV TYPE INEQUALITY FOR BOUNDARY VALUE PROBLEMS OF THE FRACTIONAL CAPUTO-FABRIZIO DIFFERENTIAL EQUATIONS

Year 2019, Volume: 37 Issue: 4, 1129 - 1137, 01.12.2019

Abstract

In this paper, a Lyapunov-type inequality and the existence of the positive solutions for boundary value problems of the nonlinear fractional Caputo-Fabrizio differential equation have been presented. By using the Guo Krasnoselskii’s fixed point theorem on cone and the properties of the associated Green`s function, we prove the existence of the positive solution. Finally, we gave some numerical examples to validate the theoretical findings.

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There are 27 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Şuayip Toprakseven This is me 0000-0003-3901-9641

Publication Date December 1, 2019
Submission Date September 29, 2019
Published in Issue Year 2019 Volume: 37 Issue: 4

Cite

Vancouver Toprakseven Ş. THE EXISTENCE OF POSITIVE SOLUTIONS AND A LYAPUNOV TYPE INEQUALITY FOR BOUNDARY VALUE PROBLEMS OF THE FRACTIONAL CAPUTO-FABRIZIO DIFFERENTIAL EQUATIONS. SIGMA. 2019;37(4):1129-37.

IMPORTANT NOTE: JOURNAL SUBMISSION LINK https://eds.yildiz.edu.tr/sigma/