On the solutions of fractional differential equations with modified Mittag-Leffler kernel and Dirac Delta function: Analytical results and numerical simulations.
In this paper we define, for the first time, the modified fractional derivative with Mittage-Leffler kernel of Riemann-Liouville (R-L) type of arbitrary order [Formula: see text]delta. We derive the infinite series representations for the modified derivatives of R-L and Caputo types and present a re...
Saved in:
| Main Authors: | Mohammed Al-Refai, Dumitru Baleanu, A K Alomari |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2025-01-01
|
| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0325897 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
On the solutions of fractional differential equations with modified Mittag-Leffler kernel and Dirac Delta function: Analytical results and numerical simulations
by: Mohammed Al-Refai, et al.
Published: (2025-01-01) -
Modeling and Neural Network Approximation of Asymptotic Behavior for Delta Fractional Difference Equations with Mittag-Leffler Kernels
by: Pshtiwan Othman Mohammed, et al.
Published: (2025-07-01) -
Results on Implicit Fractional Pantograph Equations with Mittag-Leffler Kernel and Nonlocal Condition
by: Mohammed A. Almalahi, et al.
Published: (2022-01-01) -
Exploring the dynamics of HIV and HCV co-infection through piecewise modified Mittag-Leffler fractional derivatives
by: Ayesha Saleem, et al.
Published: (2025-12-01) -
Theoretical analysis and second-order approximation of solution of fractal-fractional differential equations with Mittag-Leffler Kernel
by: Abdon Atangana, et al.
Published: (2024-12-01)