An analogue of the Lyapunov inequality for an ordinary second-order differential equation with a fractional derivative and a variable coefficient

An analogue of the Lyapunov inequality for an ordinary second-order differential equation with a fractional derivative and a variable coefficient

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This paper studies an ordinary second-order differential equation with a fractional differentiation operator in the sense of Riemann-Liouville with a variable coefficient. We use the Green’s function’s method to find a representation of the solution of the Dirichlet problem for the equation under c...

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Bibliographic Details
Main Author: B.I. Efendiev
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2022-06-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
fractional Riemann–Liouville integral
fractional Riemann–Liouville derivative
Gerasimov–Caputo fractional derivative
Dirichlet problem
Green’s function
analogue of Lyapunov inequality
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/519

Internet

http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/519

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