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DOI: 10.23952/jnfa.2023.28
Received March 1, 2023; Accepted August 3, 2023; Published September 5, 2023
Abstract. In this paper, we present a new class of fractional derivative (bi-order Hilfer-Katugampola fractional derivative). In the framework of this type of fractional calculus, we discuss a class of fractional multi-point boundary value problems (BVPs) and obtain some new fractional Lyapunov-type inequalities. Based on the generality of the definition of bi-order Hilfer-Katugampola fractional derivative, we provide a series of corollaries, which demonstrate that our results unify and generalize some known results in the existing literature.
How to Cite this Article:
G. Chen, J. Ni, H. Dong, W. Zhang, Lyapunov-type inequalities for fractional multi-point boundary value problems using a new generalized fractional derivative, J. Nonlinear Funct. Anal. 2023 (2023) 28.