In particular, set the function in dynamic equation as (52).
Note that if in Theorem 8.2 we set the function ψ to be (psi (x)=x^{3}), we get exactly Theorem 8.1.
(1) In Theorem 2.9, if we set the function (varsigma :[0,infty )rightarrow [0,infty )) as begin{aligned} varsigma (t)=1text end{aligned} for all (tin [0,infty )), then we obtain Theorem 4 in [6].
If we set the function (varsigma :[0,infty )rightarrow [0,infty )) in Theorem 2.4 as begin{aligned} varsigma (t)=1text end{aligned} for all (tin [0,infty )), then we obtain the Banach's contraction principle on a complete S-metric space.
(1) If we set the function (varsigma :[0,infty )rightarrow [0,infty )) in Theorem 2.7 as begin{aligned} varsigma (t)=1text end{aligned} for all (tin [0,infty )), then we obtain Theorem 3 in [6].
The Riemann-Liouville fractional derivative of order α > 0, n − 1 ≤ α < n, n ∈ N is defined as D 0 + α u ( t ) = 1 Γ ( n − α ) ( d d t ) n ∫ 0 t ( t − s ) n − α − 1 u ( s ) d s, where ℕ denotes the natural number set, the function u ( t ) is n times continuously differentiable on [ 0, + ∞ ). Lemma 2.1 [17, 17].
First, the area of fluid and quartz in the SEI was distinguished by setting the function 'Threshold' in ImageJ.
Evolvable matter will not enslave us because we set the fitness function.
Just set the transformation function as t(x)=1−x.
Just let the meal finish cooking and set the refrigeration function again for later munching.
The number of permutations was set at 999; all other arguments used the default values set in the function.
