Results 91 to 100 of about 755,580 (294)
Kober fractional q-derivative operators [PDF]
, 2011 In the present paper, we define right and left sided Kober fractional q-derivative operators and show that these derivative operators are left inverse operators of Kober fractional q-integral operators.
Garg, Mridula, Chanchlani, Lata
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Fractal and FractionalTraditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
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Molecular Oncology, EarlyView.LUNAR is a liver‐specific long noncoding RNA (lncRNA) that is highly expressed in normal liver but becomes epigenetically silenced in hepatocellular carcinoma through promoter hypermethylation. Loss of LUNAR is associated with NOTCH activation, epithelial–mesenchymal transition, and metastasis, whereas restoring LUNAR restrains metastatic progression ...
Se Ha Jang +9 more
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On a certain fractional operator
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1991 Let \(S:*(\alpha),\;K(\alpha)\) be the class of starlike and convex functions of order \(\alpha\), analytic in the open unit disk. Define the convolution of \(f_ 1 * f_ 2 (z)=\sum:\infty_{n=0} a_{1,n+1}a_{2,n+1}z:{n+1},\;f_ i (z)= \sum:{\infty}_{n=0}a_{i,n+1}z:{n+1},\;i=1,\;2.\) Let \((\lambda)_ n\) be the Pochhammer symbol defined by \((\lambda)_ 0=1,\
Owa, Shigeyoshi +2 more
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Molecular Oncology, EarlyView.Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche +10 more
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On Fractional Symmetric Hahn Calculus
Mathematics, 2019 In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann−Liouville and Caputo types
Nichaphat Patanarapeelert +1 more
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Necessary optimality conditions for fractional action-like problems with intrinsic and observer times [PDF]
, 2008 We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
Frederico, G.S.F., Torres, D.F.M.
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Molecular Oncology, EarlyView.Extracellular vesicle (EV) lipidomic profiling of plasma and ascites from patients with high‐grade serous ovarian cancer and of ovarian cancer cell lines reveals enrichment of triglycerides (TGs), diacylglycerols (DGs), phosphatidylcholine (PCs), sphingomyelins (SMs), reflecting tumor metabolic reprogramming.
Shikha Rani +9 more
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Fractional operators and applications to fractional martingal
International Journal of Advances in Applied Mathematics and Mechanics, 2018 Summary: In this paper, we use the fractional operators for to give the fractional martingale properties. We give again some examples.
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Molecular Oncology, EarlyView.This paper shows that size‐exclusion chromatography and sequential centrifugation applied to seminal plasma enrich for different populations of extracellular vesicles. This may significantly affect the detection and analysis of extracellular vesicle‐associated cancer biomarkers.
Elen Telumyan +8 more
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