Results 121 to 130 of about 5,561 (244)
SEIR epidemic model for COVID-19 transmission by Caputo derivative of fractional order. [PDF]
Adv Differ Equ, 2020 Rezapour S, Mohammadi H, Samei ME.
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
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Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations
Scientific ReportsIn this paper, we find the solutions to kinetic models and a one-dimensional diffusion equation applied to the Atangana-Baleanu-Caputo fractional derivative (ABCFD).
Victor Tebogo Monyayi +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The first or higher order Riemann–Liouville (R‐L) type fractional derivatives are studied. The relations between the R‐L type fractional derivatives and the classical R‐L fractional derivatives are obtained and the spaces of functions on which the R‐L type fractional derivatives exist are provided.
Kunquan Lan
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Viscoelastic Modeling of Stress Relaxation in Model High‐Performance Covalent Adaptable Networks
Journal of Polymer Science, EarlyView.Covalent adaptable networks, often referred to as vitrimers, contain a certain fraction of bonds that are able to exchange with other bonds. The ability of this bond exchange to relax stress or result in flow of the material depends on the concentration and specific concentration of these bonds in ways that can be quantified.
Broderick Lewis +4 more
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Sliding Mode Control in Aerospace Applications: A Survey
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
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Sustainable Development, EarlyView.ABSTRACT This study analyses how European universities embed the Sustainable Development Goals (SDGs) into their strategic planning, proposing an integrative and multistakeholder measurement tool—Strategizer Scoring System (SDG‐3S). The research combines the Delphi method, content analysis of 198 strategic plans from universities in 33 European ...
Sandra Barrio Campo +2 more
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