Qualitative results and numerical approximations of the $ (k, \psi) $-Caputo proportional fractional differential equations and applications to blood alcohol levels model
The initial value problem in Cauchy-type under the $ (k, \psi) $-Caputo proportional fractional operators was our focus in this paper. An extended Gronwall inequality and its properties were analyzed. The existence and uniqueness results were proven utilizing the fixed point theory of Banach's...
Saved in:
| Main Authors: | Weerawat Sudsutad, Chatthai Thaiprayoon, Aphirak Aphithana, Jutarat Kongson, Weerapan Sae-dan |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2024-12-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241622 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Analysis of a mathematical model for the spreading of the monkeypox virus with constant proportional-Caputo derivative operator
by: Jutarat Kongson, et al.
Published: (2025-02-01) -
Dynamical behavior of tempered φ-Caputo type fractional order stochastic differential equations driven by Lévy noise
by: M. Latha Maheswari, et al.
Published: (2024-12-01) -
Existence and stability of solution for a coupled system of Caputo–Hadamard fractional differential equations
by: Mesfin Teshome Beyene, et al.
Published: (2024-12-01) -
Stability analysis of a class of Langevin equations in the frame of generalized Caputo fractional operator with nonlocal boundary conditions
by: Sombir Dhaniya, et al.
Published: (2025-05-01) -
ATANGANA-BALEANU TIME-STOCHASTIC FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS
by: R. Pradeepa, et al.
Published: (2024-08-01)