q-Analogues of Lyapunov-type inequalities involving Riemann–Liouville fractional derivatives

In this article, new q-analogues of Lyapunov-type inequalities are presented for two-point fractional boundary value problems involving the Riemann–Liouville fractional q-derivative with well-posed q-boundary conditions. The study relies on the properties of the q-Green’s function, which is constru...

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Bibliographic Details

Published in:	Қарағанды университетінің хабаршысы. Математика сериясы
Main Authors:	N.S. Tokmagambetov, B.K. Tolegen
Format:	Article
Language:	English
Published:	Academician Ye.A. Buketov Karaganda University 2025-09-01
Subjects:	q-calculus fractional q-derivative Lyapunov-type inequality Riemann–Liouville fractional derivative Green’s function Mittag-Leffler function
Online Access:	https://mts.buketov.edu.kz/index.php/mathematics-vestnik/article/view/1014