Results 71 to 80 of about 49,276 (273)
Journal of Numerical Analysis and Approximation Theory, 2018 We present a semi-local convergence analysis for a class of iterative methods under generalized conditions. Some applications are suggested including Banach space valued functions of fractional calculus, where all integrals are of Bochner-type.
Ioannis K. Argyros +1 more
doaj +2 more sources
Axioms, 2023 Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
doaj +1 more source
Vector-valued extensions for fractional integrals of Laguerre expansions
, 2017 We prove some vector-valued inequalities for fractional integrals defined in the context of two different orthonormal systems of Laguerre functions. Our results are based on estimates of the corresponding kernels with precise control of the parameters ...
Ciaurri, Ó., Roncal, L.
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
On tempered fractional Bullen-type inequalities: analysis in different function settings
Kuwait Journal of ScienceTempered fractional integrals offer a flexible and physically realistic extension of classical fractional operators by incorporating an exponential tempering factor that attenuates long-range memory effects.
Abdelghani Lakhdari +3 more
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Fractional differential equations solved by using Mellin transform
, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin ...
Butera, Salvatore, Di Paola, Mario
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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 fractional deviation operators
Le Matematiche, 1997 The so called fractional deviation operators are introduced. This class of integral transforms appears naturally from the study of iteration of fractional integrals of Riemann-Liouville type. Since B.
Carlos C. Peña
doaj
Double Local Fractional Yang–Laplace Transform for Local Fractional PDEs on Fractal Domains
Fractal and FractionalThis study introduces a novel analytical technique known as the double local fractional Yang–Laplace transform method (LFLζ2) and rigorously investigates its foundational properties, including linearity, differentiation, and convolution.
Djelloul Ziane +3 more
doaj +1 more source
Stochastic calculus for convoluted L\'{e}vy processes
, 2008 We develop a stochastic calculus for processes which are built by convoluting a pure jump, zero expectation L\'{e}vy process with a Volterra-type kernel. This class of processes contains, for example, fractional L\'{e}vy processes as studied by Marquardt
Bender, Christian, Marquardt, Tina
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