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Studies & Findings

Fractional order breast cancer model with therapy, prevention diagnosis and optimal control based on real data

In this portion, we Analyze the Hyers-Ulam and general Hyers-Ulam stability analysis32,33. Let us suppose \(\epsilon >0\) with, $$\begin{aligned} |^{\textbf{C}}\textbf{D}_{t}^{\alpha _{1}}\mathfrak {S}(t)-\mathfrak {P}(t, \mathfrak {S}(t))|\le \epsilon , ~ t\in \textrm{J}, \end{aligned}$$ (13) for \(\epsilon =\max (\epsilon _{i})^T, i=1,2,3.\) Definition 3.1 Equation (4) is supposed to be Hyers-Ulam stable such that \(\exists , \mathfrak {H}_{\mathfrak {P}}>0,\)

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Studies & Findings

Dirty water, warm trucks, and the real reason romaine keeps making us sick

E. coli outbreaks in romaine lettuce have long been a public health concern. and now a new Cornell University paper suggests that a combination of efforts in the field, and even postharvest techniques, can minimize risk to human health. Co-authored by Renata Ivanek, a professor in the department of population medicine and diagnostic sciences, and

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