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Fractional-order mathematical model for Monkeypox transmission dynamics using the Atangana-Baleanu Caputo operator. [PDF]

open access: yesBMC Infect Dis
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Existence and Uniqueness Theorems

1992
A set X equipped with a metric $$d:X \times X \to {R_ + }$$ which satisfies the conditions (the axioms of the metric) $$d\left( {x,y} \right) = 0 \Leftrightarrow x = y,\forall x,y \in X$$ (1) $$d\left( {x,y} \right) = d\left( {y,x} \right)\forall x,y \in X$$ (2) $$d\left( {x,z} \right) \leqslant d\left( {x,y} \right) + d ...
Gheorghe Micula, Paraschiva Pavel
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Existence and Uniqueness Theorems

2010
In this chapter we are concerned with the first-order vector differential equation $$x^\prime = f(t, x).$$
Walter G. Kelley, Allan C. Peterson
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Existence and Uniqueness Theorem for Slant Immersions and Its Applications

Results in Mathematics, 1997
A slant isometric immersion \(f:M\to\widetilde{M}\) is an isometric immersion from a Riemannian manifold \(M\) into an almost Hermitian manifold \(\widetilde{M}\) with constant Wirtinger angle \(\theta\), i.e., for every \(p\in M\) and every unit vector \(v\in T_pM\) the angle between \(Jf_*v\) and \(f_*T_pM\) is \(\theta\).
Chen, Bang-yen, Vrancken, Luc
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Existence and Uniqueness Theorems

1986
In this chapter our ultimate goal is to show the existence and uniqueness of solutions to certain ordinary differential equations. To do so we use the setting of the previous chapter, a Banach space, and a device known as a contraction mapping. The results are then applied to an integral equation.
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