Results 71 to 80 of about 760,461 (313)

On fractional powers of the Bessel operator on a semiaxis

, 2018
In this paper we study fractional powers of the Bessel differential operator defined on a semiaxis. Some important properties of such fractional powers of the Bessel differential operator are proved.
Shishkina, E. L., Sitnik, S. M.
core   +1 more source

Tau acetylation at K331 has limited impact on tau pathology in vivo

FEBS Letters, EarlyView.
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto, Yukio Matsuba, Mika Takahashi, Takaomi C. Saido   +3 more
wiley   +1 more source

A Novel Iterative Method for Solving Systems of Fractional Differential Equations

Journal of Applied Mathematics, 2013
The Reconstruction of Variational Iteration Method (RVIM) technique has been successfully applied to obtain solutions for systems of nonlinear fractional differential equations: , ,  , , where denote Caputo fractional derivative.
E. Hesameddini, A. Rahimi
doaj   +1 more source

The G′G-expansion method using modified Riemann–Liouville derivative for some space-time fractional differential equations

Ain Shams Engineering Journal, 2014
In this paper, the fractional partial differential equations are defined by modified Riemann–Liouville fractional derivative. With the help of fractional derivative and traveling wave transformation, these equations can be converted into the nonlinear ...
Ahmet Bekir, Özkan Güner
doaj   +1 more source

Stability of ψ-Hilfer impulsive fractional differential equations [PDF]

Applied Mathematics Letters, 2018
In this paper, we investigate the sufficient conditions for existence and uniqueness of solutions and δ -Ulam–Hyers–Rassias stability of an impulsive fractional differential equation involving ψ -Hilfer fractional derivative. Fixed point approach is used
J. Sousa, Kishor D. Kucche, E. C. D. Oliveira   +2 more
semanticscholar   +1 more source

A methionine‐lined active site governs carbocation stabilization and product specificity in a bacterial terpene synthase

FEBS Letters, EarlyView.
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel, Carl P. O. Helmer, Shani Zev, Ronja Driller, Emily Buhr, Markus Reinbold, Renana Schwartz, Gabriel Foley, Mikael Boden, Daniel Garbe, Gerhard Schenk, Dan Thomas Major, Bernhard Loll, Thomas Brück   +13 more
wiley   +1 more source

Computational Solution of a Fractional Integro-Differential Equation

Abstract and Applied Analysis, 2013
Although differential transform method (DTM) is a highly efficient technique in the approximate analytical solutions of fractional differential equations, applicability of this method to the system of fractional integro-differential equations in higher ...
Muhammet Kurulay, Mehmet Ali Akinlar, Ranis Ibragimov   +2 more
doaj   +1 more source

Legendre wavelets approach for numerical solutions of distributed order fractional differential equations

Applied Mathematical Modelling, 2019
In this study, a new numerical method for the solution of the linear and nonlinear distributed fractional differential equations is introduced. The fractional derivative is described in the Caputo sense.
Boonrod Yuttanan, M. Razzaghi
semanticscholar   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

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, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source

Stationarity-conservation laws for certain linear fractional differential equations

, 2001
The Leibniz rule for fractional Riemann-Liouville derivative is studied in algebra of functions defined by Laplace convolution. This algebra and the derived Leibniz rule are used in construction of explicit form of stationary-conserved currents for ...
Douglas J F, Hilfer R, Hilfer R, Hilfer R, Klimek M, Malgorzata Klimek, Miller K S, Nigmatullin R R, Oldham K B, Osler T J, Osler T J, Osler T J, Podlubny I, Samko S G, Schiessel H, Takahashi Y, Zavada P   +16 more
core   +2 more sources