Results 81 to 90 of about 171,468 (355)
International Journal of Differential Equations, 2019 Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
doaj +1 more source
Entropy Interpretation of Hadamard Type Fractional Operators: Fractional Cumulative Entropy
Entropy, 2022 Interpretations of Hadamard-type fractional integral and differential operators are proposed. The Hadamard-type fractional integrals of function with respect to another function are interpreted as an generalization of standard entropy, fractional ...
Vasily E. Tarasov
doaj +1 more source
q-fractional integral operators with two parameters
Advances in Applied MathematicsWe use the Poisson kernel of the continuous $q$-Hermite polynomials to introduces families of integral operators, which are semigroups of linear operators. We describe the eigenvalues and eigenfunctions of one family of operators. The action of the semigroups of operators on the Askey--Wilson polynomials is shown to only change the parameters but ...
Mourad E.H. Ismail, Keru Zhou
openaire +2 more sources
FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
wiley +1 more source
On an integral and consequent fractional integral operators via generalized convexity
AIMS Mathematics, 2020 Fractional calculus operators are very useful in basic sciences and engineering. In this paper we study an integral operator which is directly related with many known fractional integral operators. A new generalized convexity namely exponentially (α, h−m)
Wenfeng He +4 more
semanticscholar +1 more source
Integrated Fractional Resolvent Operator Function and Fractional Abstract Cauchy Problem [PDF]
Abstract and Applied Analysis, 2014 We firstly prove thatβ-times integratedα-resolvent operator function ((α,β)-ROF) satisfies a functional equation which extends that ofβ-times integrated semigroup andα-resolvent operator function. Secondly, for the inhomogeneousα-Cauchy problemcDtαu(t)=Au(t)+f(t),t∈(0,T),u(0)=x0,u'(0)=x1,ifAis the generator of an(α,β)-ROF, we give the relation between ...
Ya-Ning Li, Hong-Rui Sun
openaire +4 more sources
Fractional operators and special functions. II. Legendre functions
, 2002 Most of the special functions of mathematical physics are connected with the representation of Lie groups. The action of elements $D$ of the associated Lie algebras as linear differential operators gives relations among the functions in a class, for ...
Durand L., Koornwinder T., Loyal Durand
core +2 more sources
LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
wiley +1 more source
Molecular Oncology, EarlyView.We show that the majority of the 18 analyzed recurrent cancer‐associated ERBB4 mutations are transforming. The most potent mutations are activating, co‐operate with other ERBB receptors, and are sensitive to pan‐ERBB inhibitors. Activating ERBB4 mutations also promote therapy resistance in EGFR‐mutant lung cancer.
Veera K. Ojala +15 more
wiley +1 more source
Norm inequalities for Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces [PDF]
, 2022 Pokou Nagacy +2 more
openalex +2 more sources