On One Nonlocal Boundary-value Problem for a Nonlinear Fractional Differential Equation With Hilfer’s Bi-ordinal Derivative
Year: 2025
Type: article
Abstract: We consider a boundary-value problem with a nonlocal integral condition for a nonlinear fractional differential equation with a generalized (bi-ordinal) composite Hilfer’s derivative. The notion of a bi-ordinal Hilfer’s derivative is based on the interpolation concept with the use of Caputo and Riemann–Liouville derivatives of different orders. The existence of a solution and the uniqueness and stability of this problem are discussed. Keywords: nonlinear fractional-differential equations, bi-ordinal Hilfer’s derivative, boundary-value problem, nonlocal conditions, existence, uniqueness, stability.
Source: Kibernetyka ta Systemnyi Analiz
Author: V.M. Bulavatsky
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4410742980