Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability
A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function. From the Cauchy problem of the nth-order difference equation, new fractional-order sum and differences are presented. The propositions betw...
Saved in:
| Main Authors: | Guang Yang, Guo-Cheng Wu, Hui Fu |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2023-11-01
|
| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/33550 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth
by: Jia Wei He, et al.
Published: (2024-01-01) -
On Extended Numerical Discretization Technique of Fractional Models with Caputo-Type Derivatives
by: Reem Allogmany, et al.
Published: (2025-04-01) -
An efficient numerical scheme for fractional host–parasite hyperparasite interaction model
by: Parveen Kumar, et al.
Published: (2024-12-01) -
High performance adaptive step size fractional numerical scheme for solving fractional differential equations
by: Mudassir Shams, et al.
Published: (2025-04-01) -
Hamiltonian conserved Crank-Nicolson schemes for a semi-linear wave equation based on the exponential scalar auxiliary variables approach
by: Huanhuan Li, et al.
Published: (2024-07-01)