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A numerical study on the dynamics of SIR epidemic model through Genocchi wavelet collocation method. [PDF]
Sci RepChiranahalli Vijaya DK +2 more
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Predictive modeling of hepatitis B viral dynamics: a caputo derivative-based approach using artificial neural networks. [PDF]
Sci RepTurab A +5 more
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Chlamydia infection with vaccination asymptotic for qualitative and chaotic analysis using the generalized fractal fractional operator. [PDF]
Sci RepNisar KS +4 more
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Towards a spatially resolved, single-ended TDLAS system for characterizing the distribution of gaseous species. [PDF]
Sci RepHansemann C +4 more
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The role of a vaccine booster for a fractional order model of the dynamic of COVID-19: a case study in Thailand. [PDF]
Sci RepPongsumpun P +3 more
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2011
This chapter is devoted to spectral approximations of the Volterra integral equation (VIE): \(y(t)+\int_{o}^{t}R(t,\tau)y(\tau)=f(t),\,\,t\epsilon[0,T],\)
Li-Lian Wang, Tao Tang, Jie Shen
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This chapter is devoted to spectral approximations of the Volterra integral equation (VIE): \(y(t)+\int_{o}^{t}R(t,\tau)y(\tau)=f(t),\,\,t\epsilon[0,T],\)
Li-Lian Wang, Tao Tang, Jie Shen
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1999
In this chapter first we shall follow Meehan and O’Regan [213,215] and present results which guarantee the existence of nonnegative solutions of the Volterra integral equation $$y\left( t \right) = h\left( t \right) - \int_0^t {k\left( {t,s} \right)} g\left( {s,y\left( s \right)} \right)ds,t \in {\text{ }}\left[ 0 \right.
Donal O'Regan +2 more
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In this chapter first we shall follow Meehan and O’Regan [213,215] and present results which guarantee the existence of nonnegative solutions of the Volterra integral equation $$y\left( t \right) = h\left( t \right) - \int_0^t {k\left( {t,s} \right)} g\left( {s,y\left( s \right)} \right)ds,t \in {\text{ }}\left[ 0 \right.
Donal O'Regan +2 more
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Journal of Soviet Mathematics, 1979
One presents a survey of the investigations in the theory of Volterra integral equations, reviewed in Ref. Zh. “Mat.” between 1966–1976.
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One presents a survey of the investigations in the theory of Volterra integral equations, reviewed in Ref. Zh. “Mat.” between 1966–1976.
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Volterra Integral Equations [PDF]
, 1995 As shown by equations (1.1.1–2), there is a close relationship between ordinary differential equations and Volterra integral equations. First, we discuss the unique solvability. Afterwards, in §2.1.2, we discuss the regularity of the solution.
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