Reproducing kernel approach for numerical solutions of fuzzy fractional initial value problems under the Mittag–Leffler kernel differential operator
In this research study, fuzzy fractional differential equations in presence of the Atangana–
Baleanu–Caputo differential operators are analytically and numerically treated using …
Baleanu–Caputo differential operators are analytically and numerically treated using …
[HTML][HTML] Dynamical behaviours and stability analysis of a generalized fractional model with a real case study
Introduction Mathematical modelling is a rapidly expanding field that offers new and
interesting opportunities for both mathematicians and biologists. Concerning COVID-19, this …
interesting opportunities for both mathematicians and biologists. Concerning COVID-19, this …
The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique
This research considers an inverse source problem for fractional diffusion equation that
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
containing fractional derivative with non-singular and non-local kernel, namely, Atangana …
A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations
S Djennadi, N Shawagfeh, OA Arqub - Chaos, Solitons & Fractals, 2021 - Elsevier
In this research, we deal with two types of inverse problems for diffusion equations involving
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Caputo fractional derivatives in time and fractional Sturm-Liouville operator for space. The …
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
The trend of developing fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …
the recent years through effectively exploring the fractional and fractal dynamics. In this …
[HTML][HTML] Fractional crossover delay differential equations of Mittag-Leffler kernel: Existence, uniqueness, and numerical solutions using the Galerkin algorithm based …
H Sweis, N Shawagfeh, OA Arqub - Results in Physics, 2022 - Elsevier
In the present work, we consider a class of fractional delay differential equations of order ρ
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …
Design of intelligent computing networks for nonlinear chaotic fractional Rossler system
In a recent development, the legacy of fractional-order multi-dimensional chaotic systems
has attracted numerous researchers owing to their valuable applications in cryptology …
has attracted numerous researchers owing to their valuable applications in cryptology …
[HTML][HTML] The novel cubic B-spline method for fractional Painleve and Bagley-Trovik equations in the Caputo, Caputo-Fabrizio, and conformable fractional sense
L Shi, S Tayebi, OA Arqub, MS Osman… - Alexandria Engineering …, 2023 - Elsevier
In this analysis, we use the high order cubic B-spline method to create approximating
polynomial solutions for fractional Painlevé and Bagley-Torvik equations in the Captuo …
polynomial solutions for fractional Painlevé and Bagley-Torvik equations in the Captuo …
Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions
The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …
physics, the investigation of fusion energy, astrophysical research, and space studies. The …
A mathematical model analysis of meningitis with treatment and vaccination in fractional derivatives
In this paper, we develop a new mathematical model based on the Atangana Baleanu
Caputo (ABC) derivative to investigate meningitis dynamics. We explain why fractional …
Caputo (ABC) derivative to investigate meningitis dynamics. We explain why fractional …