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Numerical study of non-Darcy hybrid nanofluid flow with the effect of heat source and hall current over a slender extending sheet
(NLM (Medline), 2022)
The current evaluation described the flow features of Darcy Forchhemier hybrid nanoliquid across a slender permeable stretching surface. The consequences of magnetic fields, second order exothermic reaction, Hall current ...
On coupled system of drug therapy via piecewise equations
(World Scientific, 2022)
This paper is devoted to establish some theoretical and computational results for a coupled system of drug therapy process. The considered problem is investigated by using the concept of piecewise modeling. We apply piecewise ...
Generalized heat and mass transport features of MHD Maxwell nanofluid flows past a linearly Bi-stretching surface in the presence of motile microorganisms and chemical reaction
(Elsevier B.V., 2023)
Recent studies have shown that non-Newtonian fluid flows over stretching sheets have received a lot of interest. These fluids have extensive practical applications in various fields of engineering and industries. The ...
Analytical solutions for time-fractional diffusion equation with heat absorption in spherical domains
(Ain Shams University, 2022)
Under the time-variable Dirichlet condition, the time-fractional diffusion equation with heat absorption in a sphere is taken into consideration. The time-fractional derivative with the power-law kernel is used in the ...
Stability and numerical analysis via non-standard finite difference scheme of a nonlinear classical and fractional order model
(Elsevier B.V., 2023)
In this paper, we develop a new mathematical model for an in-depth understanding of COVID-19 (Omicron variant). The mathematical study of an omicron variant of the corona virus is discussed. In this new Omicron model, we ...
A new approach to fractional differential equations
(Serbian Society of Heat Transfer Engineers, 2023)
In this work, we define fractional derivative of order ς > 0, with no restrictions on the domain of the function, and give its geometry. We derive some rules and properties for the proposed new approach and show that if ...
Coupled System of Fractional Impulsive Problem Involving Power-Law Kernel with Piecewise Order
(MDPI, 2023)
In this research paper, we study a coupled system of piecewise-order differential equations (DEs) with variable kernel and impulsive conditions. DEs with variable kernel have high flexibility due to the freedom of changing ...
Using advanced analysis together with fractional order derivative to investigate a smoking tobacco cancer model
(Elsevier B.V., 2023)
This research manuscript is devoted to investigate a smoking tobacco cancer model by applying some advanced techniques based on second derivative. The snuffing class is included in the construction of our model. The stability ...
Existence theory and numerical simulations of variable order model of infectious disease
(Elsevier B.V., 2023)
This study uses variable order differentiation and integration to investigate the disease dynamical model of COVID-19. Here, we update the results of the qualitative and quantitative analysis. We obtain necessary conclusions ...
On a SEIR-type model of COVID-19 using piecewise and stochastic differential operators undertaking management strategies
(American Institute of Mathematical Sciences, 2023)
In this work, an epidemic model of a susceptible, exposed, infected and recovered SEIR-type is established for the distinctive dynamic compartments and epidemic characteristics of COVID-19 as it spreads across a population ...