Results 51 to 60 of about 247,781 (292)
Some Further Generalizations of Hölder's Inequality and Related Results on Fractal Space
Abstract and Applied Analysis, 2014 We establish some new generalizations and refinements of the local fractional integral Hölder’s inequality and some related results on fractal space.
Guang-Sheng Chen +3 more
doaj +1 more source
Numerical Methods for the Fractional Laplacian: a Finite Difference-quadrature Approach
, 2014 The fractional Laplacian $(-\Delta)^{\alpha/2}$ is a non-local operator which depends on the parameter $\alpha$ and recovers the usual Laplacian as $\alpha \to 2$.
Huang, Yanghong, Oberman, Adam
core +1 more source
On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations
International Journal of Analysis and Applications, 2023 The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to ...
Savita Rathee, Yogeeta Narwal
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About fractional integrals in the space of locally integrable functions
Journal of Mathematical Analysis and Applications, 1992 The authors show that the largest ``natural'' function space, where the Riemann-Liouville fractional integral operator \[ J^ \alpha f(x)={1\over{\Gamma(\alpha)}} \int_ 0^ x (x-t)^{\alpha-1} f(t)dt \] and differential operator \[ D^ \alpha f(x)={1 \over{\Gamma(1-\alpha)}} {d \over dx} \int_ 0^ x (x-t)^{-\alpha} f(t)dt ...
Martinez, Celso +2 more
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ABOUT A PROBLEM FOR THE DEGENERATING MIXED TYPE EQUATION FRACTIONAL DERIVATIVE [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 The existence and the uniqueness of solution of local problem for degenerating mixed type equation is investigated. Considering parabolic-hyperbolic equation involve the Caputo fractional derivative.
Islomov B. I., Ochilova N. K.
doaj +1 more source
, 2019 In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian $(-\Delta)^{\frac{\alpha}{2}}$ ($0 < \alpha < 2$) in hypersingular integral form.
Duo, Siwei, Zhang, Yanzhi
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Certain Analytic Formulas Linked to Locally Fractional Differential and Integral Operators
Journal of Function Spaces, 2022 The present investigation is aimed at defining different classes of analytic functions and conformable differential operators in view of the concept of locally fractional differential and integral operators. We present a novel generalized class of analytic functions, which we call it locally fractional analytic functions in the open unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
openaire +3 more sources
Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation
FEBS Letters, EarlyView.Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe +3 more
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
wiley +1 more source
FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source