Results 51 to 60 of about 15,213 (267)
A remark on local fractional calculus and ordinary derivatives
Open Mathematics, 2016 In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary
Almeida Ricardo +2 more
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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
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On generalized $\mathtt{k}$-fractional derivative operator
AIMS Mathematics, 2020 الهدف الرئيسي من هذه الورقة هو تقديم عامل المشتقات الكسرية $\ mathtt {k }$ باستخدام تعريف دالة $\mathtt{k }$-beta. تحدد هذه الورقة بعض النتائج المتعلقة بالمعامل الكسري المحدد حديثًا مثل تحويل Mellin والعلاقات مع $\ mathtt{k }$- hypergeometric و $\mathtt{k }$- دوال Appell.
Gauhar Rahman +2 more
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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 powers of generators of equicontinuous semigroups and fractional derivatives [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989 AbstractWe analyze fractional powersHα, α > 0, of the generatorsHof uniformly bounded locally equicontinuous semigroupsS. TheHαare defined as the αth derivative δαof the Dirac measure δ evaluated onS. We demonstrate that theHαare closed operators with the natural properties of fractional powers, for example,HαHβ=Hα+βfor α, β > 0, and (Hα)β=Hαβfor
Oscar E. Lanford, Derek W. Robinson
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On a new and generalized fractional model for a real cholera outbreak
Alexandria Engineering Journal, 2022 In this paper, a new mathematical model involving the general form of Caputo fractional derivative is studied for a real case of cholera outbreak. Fundamental properties of the new model including the equilibrium points as well as the basic reproduction ...
Dumitru Baleanu +3 more
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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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FEBS Letters, EarlyView.This study reveals that the small GTPase Rab14 is necessary for human papillomavirus (HPV) infection and plays an essential role in the transport of virions to the trans‐Golgi network (TGN). HPV in the early endosome (EE), which harbors GTP‐bound Rab14, is transported to the TGN through the switch of Rab14 from its GTP‐bound to GDP‐bound form.
Yoshiyuki Ishii, Iwao Kukimoto
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On the solutions of fractional reaction-diffusion equations
Le Matematiche, 2013 In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with the generalized Riemann-Liouville fractional derivative as the time derivative and Riesz-Feller fractional derivative as the space-derivative.
Jagdev Singh +2 more
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The Cauchy problems for q-difference equations with the Caputo fractional derivatives
Вестник КазНУ. Серия математика, механика, информатика, 2022 The fractional differential equations play important roles due to their numerous applications and also for the important role they play not only in mathematics but also in other sciences.
S. Shaimardan +2 more
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