Lyapunov-type inequality for an anti-periodic fractional boundary value problem of the riesz-caputo derivative

TOPRAKSEVEN, Suayip; BENGI, Recep; ZEREN, Yusuf

doi:10.14744/sigma.2023.00088

Suayip TOPRAKSEVEN ¹

, Recep BENGI ²

, Yusuf ZEREN ²

¹Department of Computer Science, Faculty of Engineering, Artvin Çoruh University, Artvin, 08100, Türkiye
²Department of Mathematics, Faculty of Science, Yildiz Technical University, Istanbul, 34100, Türkiye

Sigma J Eng Nat Sci 2023; 41(4): 807-811 DOI: 10.14744/sigma.2023.00088

Full Text PDF

Abstract

This paper concerns with a Lyapunov-type inequality for the Riesz-Caputo fractional bound-ary value problem with anti-periodic boundary conditions. As an application for the obtained inequality, a lower bound for the eigenvalues of anti-periodic fractional boundary problems of the Riesz-Caputo derivative has been obtained.

Keywords: Lyapunov’s Inequality; Fractional Differential Equation; Eigenvalues; Riesz-Caputo Derivative; Boundary Value Problem