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math.NA2022
A high-order predictor-corrector method for initial value problems with fractional derivative involving Mittag-Leffler kernel: epidemic model case study
Sami Aljhani, Mohd Salmi Md Noorani, Redouane Douaifia +1
In this paper, we propose a numerical scheme of the predictor-corrector type for solving nonlinear fractional initial value problems, the chosen fractional derivative is called the…
math.NA2020
A Newton interpolation based predictor-corrector numerical method for fractional differential equations with an activator-inhibitor case study
Redouane Douaifia, Samir Bendoukha, Salem Abdelmalek
This paper presents a new predictor-corrector numerical scheme suitable for fractional differential equations. An improved explicit Atangana-Seda formula is obtained by considering…