An efficient algorithm for solving the fractional optimal control of SIRV epidemic model with a combination of vaccination and treatment
In this paper, a general formulation for the SIRV epidemiological model is presented as a
system of fractional order derivatives with respect to time to characterize some infectious …
system of fractional order derivatives with respect to time to characterize some infectious …
A spline construction scheme for numerically solving fractional Bagley–Torvik and Painlevé models correlating initial value problems concerning the Caputo–Fabrizio …
OA Arqub, AB Rabah, S Momani - International Journal of Modern …, 2023 - World Scientific
In this review, the well-known Bagley–Torvik and Painlevé models (PM), which are special
kinds of differential problems of noninteger order ranks and have a significant role in …
kinds of differential problems of noninteger order ranks and have a significant role in …
Well-posedness and numerical simulations employing Legendre-shifted spectral approach for Caputo–Fabrizio fractional stochastic integrodifferential equations
H Badawi, OA Arqub, N Shawagfeh - International Journal of …, 2023 - World Scientific
This paper investigates the well-posedness of a class of FSIDEs utilizing the fractional
Caputo–Fabrizio derivative. Herein, the well-posedness proofs are constructed by …
Caputo–Fabrizio derivative. Herein, the well-posedness proofs are constructed by …
Two spectral Legendre's derivative algorithms for Lane-Emden, Bratu equations, and singular perturbed problems
M Abdelhakem, YH Youssri - Applied Numerical Mathematics, 2021 - Elsevier
This research aims to assemble two methodical spectral Legendre's derivative algorithms to
numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We …
numerically attack the Lane-Emden, Bratu's, and singularly perturbed type equations. We …
Numerical, approximate solutions, and optimal control on the deathly lassa hemorrhagic fever disease in pregnant women
M Higazy, A El-Mesady, AMS Mahdy… - Journal of Function …, 2021 - Wiley Online Library
This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant
women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has …
women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has …
[HTML][HTML] Pseudo-spectral matrices as a numerical tool for dealing BVPs, based on Legendre polynomials' derivatives
M Abdelhakem, H Moussa - Alexandria Engineering Journal, 2023 - Elsevier
The pseudo-spectral method is used as a technique to employ the first derivative of the well-
known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …
known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …
Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems
M Abdelhakem, D Mahmoud, D Baleanu… - Advances in Difference …, 2021 - Springer
In this work, a technique for finding approximate solutions for ordinary fraction differential
equations (OFDEs) of any order has been proposed. The method is a hybrid between …
equations (OFDEs) of any order has been proposed. The method is a hybrid between …
Shifted Legendre fractional pseudospectral differentiation matrices for solving fractional differential problems
A new differentiation technique, fractional pseudospectral shifted Legendre differentiation
matrices (FSL D-matrices), was introduced. It depends on shifted Legendre polynomials …
matrices (FSL D-matrices), was introduced. It depends on shifted Legendre polynomials …
Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems
We introduce new differentiation matrices based on the pseudospectral collocation method.
Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …
Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …
Fractional delay integrodifferential equations of nonsingular kernels: existence, uniqueness, and numerical solutions using Galerkin algorithm based on shifted …
H Sweis, OA Arqub, N Shawagfeh - International Journal of Modern …, 2023 - World Scientific
This paper considers linear and nonlinear fractional delay Volterra integrodifferential
equation of order ρ in the Atangana–Beleanu–Caputo (ABC) sense. We used continuous …
equation of order ρ in the Atangana–Beleanu–Caputo (ABC) sense. We used continuous …