An Integrated Framework for Infectious Disease Control Using Mathematical Modeling and Deep Learning. [PDF]
Salman M, Das PK, Mohanty SK.
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Investigating fractal fractional PDEs, electric circuits, and integral inclusions via (ψ,ϕ)-rational type contractions. [PDF]
Aldwoah K +5 more
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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Stability and Hopf bifurcation analysis of a fractional-order Filippov prey-predator model with prey refuge and fear effects. [PDF]
Nadeem M +3 more
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A fractional-order analysis of recurrent Lassa fever transmission in Nigeria. [PDF]
Alaje AI, Adedeji JA, Olayiwola MO.
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On a Nonlinear Volterra Integral-Functional Equation
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Nonlinear stability of direct quadrature methods for Volterra integral equations
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MESSINA, ELEONORA, A. Vecchio
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Nonlinear Volterra Integral Equations and the Apéry Identities
Bulletin of the London Mathematical Society, 1992The authors study necessary and sufficient conditions for the existence of nontrivial solutions of the Volterra integral equation \(u(x)=\int_ 0^ x k(x-s) g(u(s))ds\). Using the identity \[ \begin{multlined} \int_ a^ x f(s)h(s)ds= \int_ a^ \lambda f(s)\varphi(s)ds+ \int_ a^ \lambda [f(\lambda-f(s)][\varphi(s)-h(s)]ds+\\ +\int_ \lambda^ x [f(s)- f ...
Bushell, P. J., Okrasiński, W.
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VOLTERRA INTEGRAL EQUATIONS AND NONLINEAR SEMIGROUPS
Nonlinear Analysis: Theory, Methods & Applications, 1977Publisher Summary This chapter discusses Volterra integral equations and nonlinear semigroups. It presents the nonlinear Volterra integral equation x ( t ) = y ( t ) + ∫ g ( t − s , x ( s )) ds , t ≥ 0, where H is a Hilbert space, y : [0, ∞) → H is given, g : [0, ∞) × H → satisfies a Lipschitz condition in its second place, and x :
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On nonlinear Fredholm–Volterra integral equations with hysteresis
Applied Mathematics and Computation, 2004The author improves his earlier result concerning the existence and uniqueness of solutions of the following Fredholm-Volterra system with hysteresis \[ x(t)= g(t)+ \int^t_0 p(t,s)\phi(s, x(s), w[S[x]](s))\,ds+ \int^\infty_0 q(t,s) \psi(s, x(s), w[S[x]](s))\,ds,\tag{1} \] where \(w\) denotes a hysteresis operator and \(S\) is the superposition operator
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