Results 31 to 40 of about 93,896 (272)
Hardy's Inequality for the fractional powers of Grushin operator
, 2016 We prove Hardy's inequality for the fractional powers of the generalized sublaplacian and the fractional powers of the Grushin operator. We also find an integral representation and a ground state representation for the fractional powers of generalized ...
Boris-Marko Kukovec (2131279) +2 more
core +6 more sources
On Weyl fractional integral operators
Tamkang Journal of Mathematics, 2004 In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $.
Jain, Rashmi, Pathan, M. A.
openaire +3 more sources
On fractional powers of the Bessel operator on a semiaxis
, 2018 In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved.
Shishkina, E. L., Sitnik, S. M.
core +1 more source
On Fractional Integral Inequalities Involving Hypergeometric Operators [PDF]
Chinese Journal of Mathematics, 2014 Here we aim at establishing certain new fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional. Several special cases as fractional integral inequalities involving Saigo, Erdélyi-Kober, and Riemann-Liouville type fractional integral operators are presented in ...
Baleanu, D. +2 more
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Subordination results for a fractional integral operator
Issues of Analysis, 2022 Summary: In this paper, we establish several differential subordinations regarding the operator \(D_z^{-\lambda }SR^{m,n}\) defined using the fractional integral of the differential operator \(SR^{m,n}\), obtained as a convolution product of Sălăgean operator \(S^m\) and Ruscheweyh derivative \(R^n\).
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FEBS Letters, EarlyView.This study reveals how the mitochondrial protein Slm35 is regulated in Saccharomyces cerevisiae. The authors identify stress‐responsive DNA elements and two upstream open reading frames (uORFs) in the 5′ untranslated region of SLM35. One uORF restricts translation, and its mutation increases Slm35 protein levels and mitophagy.
Hernán Romo‐Casanueva +5 more
wiley +1 more source
Bounds of a Unified Integral Operator via Exponentially s,m-Convexity and Their Consequences
Journal of Function Spaces, 2020 Various known fractional and conformable integral operators can be obtained from a unified integral operator. The aim of this paper is to find bounds of this unified integral operator via exponentially s,m-convex functions.
Yi Hu +3 more
doaj +1 more source
Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions
FEBS Letters, EarlyView.We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva +10 more
wiley +1 more source
IEEE Access, 2019 Hadamard fractional calculus theory has made many scholars enthusiastic and excited because of its special logarithmic function integral kernel. In this paper, we focus on a class of Caputo-Hadamard-type fractional turbulent flow model involving $p(t)$ -
Guotao Wang +3 more
doaj +1 more source
Modified Atangana-Baleanu fractional operators involving generalized Mittag-Leffler function
Alexandria Engineering Journal, 2023 In this paper, we are going to deal with fractional operators (FOs) with non-singular kernels which is not an easy task because of its restriction at the origin.
Wen-Hua Huang +5 more
doaj +1 more source