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