A new intervention strategy for an HIV/AIDS transmission by a general fractional modeling and an optimal control approach
D Baleanu, M Hasanabadi, AM Vaziri… - Chaos, Solitons & Fractals, 2023 - Elsevier
This study proposes a new mathematical model in a generalized fractional framework for the
investigation of an HIV/AIDS transmission dynamics. An auxiliary parameter further prevents …
investigation of an HIV/AIDS transmission dynamics. An auxiliary parameter further prevents …
A new fractional HRSV model and its optimal control: a non-singular operator approach
In the current work, a fractional version of SIRS model is extensively investigated for the
HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo …
HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo …
Lyapunov functions for fractional-order systems in biology: Methods and applications
We prove new estimates of the Caputo derivative of order α∈(0, 1] for some specific
functions. The estimations are shown useful to construct Lyapunov functions for systems of …
functions. The estimations are shown useful to construct Lyapunov functions for systems of …
Dynamics of HIV-TB coinfection model using classical and Caputo piecewise operator: A dynamic approach with real data from South-East Asia, European and …
In this study, we analyse the behaviour of the coinfection of the HIV-TB model using a
piecewise operator in the classical-Caputo sense. For the aforementioned disease model …
piecewise operator in the classical-Caputo sense. For the aforementioned disease model …
A computational stochastic procedure for solving the epidemic breathing transmission system
This work provides numerical simulations of the nonlinear breathing transmission epidemic
system using the proposed stochastic scale conjugate gradient neural networks (SCGGNNs) …
system using the proposed stochastic scale conjugate gradient neural networks (SCGGNNs) …
On the fractional SIRD mathematical model and control for the transmission of COVID-19: the first and the second waves of the disease in Iran and Japan
In this paper, a fractional-order SIRD mathematical model is presented with Caputo
derivative for the transmission of COVID-19 between humans. We calculate the steady …
derivative for the transmission of COVID-19 between humans. We calculate the steady …
Stability of a fractional HIV/AIDS model
CJ Silva, DFM Torres - Mathematics and Computers in Simulation, 2019 - Elsevier
Stability of a fractional HIV/AIDS model - ScienceDirect Skip to main contentSkip to article
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A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations
B Yuttanan, M Razzaghi, TN Vo - Applied Numerical Mathematics, 2021 - Elsevier
In this paper, we propose a numerical method for solving distributed-order fractional partial
differential equations (FPDEs). For this method, we first introduce fractional-order …
differential equations (FPDEs). For this method, we first introduce fractional-order …
Global analysis of a time fractional order spatio-temporal SIR model
We deal in this paper with a diffusive SIR epidemic model described by reaction–diffusion
equations involving a fractional derivative. The existence and uniqueness of the solution are …
equations involving a fractional derivative. The existence and uniqueness of the solution are …
A numerical approach for solving fractional optimal control problems using modified hat functions
We introduce a numerical method, based on modified hat functions, for solving a class of
fractional optimal control problems. In our scheme, the control and the fractional derivative of …
fractional optimal control problems. In our scheme, the control and the fractional derivative of …