Results 41 to 50 of about 6,121,976 (240)
ON A PROBLEM FOR THE LOADED MIXED TYPE EQUATION WITH FRACTIONAL DERIVATIVE
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been ...
Abdullaev, O.K.
doaj +1 more source
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
Local fractional Newton’s inequalities involving generalized harmonic convex functions
Advances in Difference Equations, 2020 A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local fractional calculus is obtained. Using this new auxiliary result we have several new Newton type inequalities whose power q of local fractional derivative in ...
Sabah Iftikhar +3 more
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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
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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
Fractional thermal diffusion and the heat equation
Open Physics, 2015 Fractional calculus is the branch of mathematical analysis that deals with operators interpreted as derivatives and integrals of non-integer order. This mathematical representation is used in the description of non-local behaviors and anomalous complex ...
Gómez Francisco +4 more
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Some new local fractional integral inequalities
Tbilisi Mathematical Journal, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki, Budak, Hüseyin
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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality [PDF]
Abstract and Applied Analysis, 2014 Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities. In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions.
Wei, Wei +5 more
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
The numerical solution of fractional differential equations: Speed versus accuracy [PDF]
, 2003 This paper discusses the development of efficient algorithms for a certain fractional differential equation.Manchester Centre for Computational ...
Ford, Neville J., Simpson, A. Charles
core +2 more sources