On the Ulam-Hyers-Rassias stability of two structures of discrete fractional three-point boundary value problems: Existence theory
We prove existence and uniqueness of solutions to discrete fractional equations that involve Riemann-Liouville and Caputo fractional derivatives with three-point boundary conditions. The results are obtained by conducting an analysis via the Banach principle and the Brouwer fixed point criterion. Mo...
Main Authors: | Omar Choucha, Abdelkader Amara, Sina Etemad, Shahram Rezapour, Delfim F. M. Torres, Thongchai Botmart |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2023-01-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023073?viewType=HTML |
Similar Items
-
Qualitative Study on Solutions of a Hadamard Variable Order Boundary Problem via the Ulam–Hyers–Rassias Stability
by: Amar Benkerrouche, et al.
Published: (2021-09-01) -
Hyers–Ulam–Rassias Stability of Hermite’s Differential Equation
by: Daniela Marian, et al.
Published: (2022-03-01) -
On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals
by: Salim Ben Chikh, et al.
Published: (2020-10-01) -
Existence and κ-Mittag-Leffler-Ulam-Hyers stability results for implicit coupled (κ,ϑ)-fractional differential systems
by: A. Salim, et al.
Published: (2024-12-01) -
On Hyers–Ulam and Hyers–Ulam–Rassias Stability of a Nonlinear Second-Order Dynamic Equation on Time Scales
by: Alaa E. Hamza, et al.
Published: (2021-06-01)