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Fractional-order mathematical model for Monkeypox transmission dynamics using the Atangana-Baleanu Caputo operator. [PDF]
Agbata BC +7 more
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Chaos control and sensitivity analysis of climate change under green gases and carbon omission utilizing caputo fractional operator. [PDF]
Ahmad A +5 more
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Numerical study on fractional order nonlinear SIR-SI model for dengue fever epidemics. [PDF]
Verma L, Meher R, Nikan O, Al-Saedi AA.
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Analysis of variable-order fractional enzyme kinetics model with time delay. [PDF]
Agilan K +3 more
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Analytical solutions and dynamic behavior of conformable fractional reaction-diffusion systems. [PDF]
Alshehry AS, Shah R, Alqahtani AM.
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Existence and Uniqueness Theorems
1992A 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) $$d\left( {x,z} \right) \leqslant d\left( {x,y} \right) + d ...
Gheorghe Micula, Paraschiva Pavel
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Existence and Uniqueness Theorems
2010In this chapter we are concerned with the first-order vector differential equation $$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, 1997A 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
1986In 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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