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The Memory Effect on Fractional Calculus: An Application in the Spread of Covid-19

, 2021
de Barros LC, Lopes MM, Simões FSP, Esmi E, Santos JPCd, Sánchez DE.   +5 more
europepmc   +1 more source

Sequential class switching generates antigen-specific gut IgA from IgG1 B cells. [PDF]

Immunity
Siniscalco ER, Meng H, Gabernet G, Pacheco GA, Saghaei S, Ramirez SI, Hills LB, Faraji F, Chen S, Yin X, Dien C, Hoyt LR, Liu EG, Barrett A, Briggs N, Williams A, Shukla V, Crotty S, Wesemann DR, Kleinstein SH, Craft J, Eisenbarth SC.   +21 more
europepmc   +1 more source

Comparative simulation of nonlinear radiative nano casson and maxwell fluids with periodic magnetic force and sensitivity analysis. [PDF]

Heliyon
Islam S, Ali MY, Reza-E-Rabbi S.
europepmc   +1 more source

Explainable machine learning for modeling predictors of unintended pregnancy among married/in-union women in sub-Saharan Africa, a multi-country analysis of MICS 6 survey. [PDF]

Digit Health
Kebede SD, Abera KM, Abeje ET, Bekele Enyew E, Daba C, Asmare L, Demeke Bayou F, Arefaynie M, Mohammed A, Tareke AA, Keleb A, Kebede N, Tsega Y, Endawkie A.   +13 more
europepmc   +1 more source

On Abel's Integral Equation

On Abel's Integral Equation
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Regularisation of Abel's integral equation

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisConsider the Abel integral operatorwhere 0 < α < 1. Supposeuis inH1(0, 1) ofH1-norm ≦E, andfis an element ofL2(0, 1) such that ∥Au–f∥L−2< ε. We give a regularised approximate solutionuβ(f) of the equationwhich satisfiesand can be computed simply by performing some integrations.
Dang Dinh Hai, Dang Dinh Ang
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Interval Abel integral equation

Soft Computing, 2016
The authors study the solvability of the interval Abel integral equation of the form: \[ \frac{1}{\Gamma(\alpha)} \int\limits_a^t (t-s)^{\alpha-1} X(s) \text{d}s = Y(t) ,\, t \in [a, b] \tag{1} \] where \(\alpha \in (0, 1)\), \(K\) is the set of any nonempty compact intervals of the real line \(\mathbb{R}\), \(Y(\cdot) : [a, b] \to K\) being a given ...
Lupulescu, Vasile, Van Hoa, Ngo
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Abel Integral Equations

1990
Even though they have a rather specialized structure, Abel equations form an important class of integral equations in applications. This happens because completely independent problems lead to the solution of such equations. After an initial survey of Abel integral equations, this chapter focuses on the numerical solution of these equations when the ...
R. S. Anderssen, F. R. Hoog
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Numerical solution of the abel integral equation

BIT, 1973
A numerical method for the solution of the Abel integral equation is presented. The known function is approximated by a sum of Chebyshev polynomials. The solution can then be expressed as a sum of generalized hypergeometric functions, which can easily be evaluated, using a simple recurrence relation.
Piessens, R., Verbaeten, P.
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