Results 41 to 50 of about 191,994 (333)

Lie group classifications and exact solutions for time-fractional Burgers equation

, 2010
Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations.
A.B. Malinowska, G. Jmnarie, G.C. Wu, G.C. Wu, G.C. Wu, G.W. Bluman, Guo-Cheng Wu, P.J. Olver, R.K. Gazizov, Z.G. Deng   +9 more
core   +1 more source

Linear fractional differential equations and eigenfunctions of fractional differential operators [PDF]

Computational and Applied Mathematics, 2016
Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the analytical solution of some linear sequential fractional differential equations.
Eliana Contharteze Grigoletto, Edmundo Capelas de Oliveira, Rubens de Figueiredo Camargo   +2 more
openaire   +4 more sources

Single cis‐elements in brassinosteroid‐induced upregulated genes are insufficient to recruit both redox states of the BIL1/BZR1 DNA‐binding domain

FEBS Letters, EarlyView.
Phytohormone brassinosteroid‐induced gene regulation by the transcription factor BIL1/BZR1 involves redox‐dependent DNA‐binding alternation and interaction with the transcription factor PIF4. The reduced BIL1/BZR1 dimer binds preferred cis‐elements, while oxidation alters its oligomerization state and disrupts DNA‐binding ability.
Shohei Nosaki, Masae Ohtsuka, Takeshi Nakano, Masaru Tanokura, Takuya Miyakawa   +4 more
wiley   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

Mixed Collocation for Fractional Differential Equations

Numerical Algorithms, 2003
This paper is concerned with the numerical solution of the initial value problem for the fractional differential equation of order \( \beta, \) \(( 0 < \beta < 1 )\) given by \( D^{\beta} ( u - u_0) = \Phi ( u(t), t), t>0 \), with \( u - u_0 = 0, t \leq 0\) where \( \Phi \) is a sufficiently regular function and \( D^{\beta}\) is the fractional ...
Dubois, François, Mengué, Stéphanie
openaire   +5 more sources

Structural dynamics of the plant hormone receptor ETR1 in a native‐like membrane environment

FEBS Letters, EarlyView.
The present study unveils the structural and signaling dynamics of ETR1, a key plant ethylene receptor. Using an optimized nanodisc system and solution NMR, we captured full‐length ETR1 in a native‐like membrane environment. Our findings reveal dynamic domain uncoupling and Cu(I)‐induced rigidification, providing the first evidence of metal‐triggered ...
Moritz Lemke, Nils Alexander Lakomek, Georg Groth   +2 more
wiley   +1 more source

Square-Mean Asymptotically Almost Periodic Solutions for a Class of Fractional Stochastic Differential Equation

Journal of Harbin University of Science and Technology
The study of the properties for fractional stochastic differential equation is one of the hot directions in the field of mathematics over the years.
YAO Huili, LIU Mengran, WANG Jingnan
doaj   +1 more source

C9orf72 ALS‐causing mutations lead to mislocalization and aggregation of nucleoporin Nup107 into stress granules

FEBS Letters, EarlyView.
Mutations in the C9orf72 gene represent the most common genetic cause of amyotrophic lateral sclerosis (ALS), a fatal neurodegenerative disease. Using patient‐derived neurons and C. elegans models, we find that the nucleoporin Nup107 is dysregulated in C9orf72‐associated ALS. Conversely, reducing Nup107 levels mitigates disease‐related changes.
Saygın Bilican, Yara Nabawi, William Hongyu Zhang, Dunja Petrovic, Markus Wehrmann, Sara Muñoz‐García, Seda Koyuncu, David Vilchez   +7 more
wiley   +1 more source

Exact solutions for nonlinear fractional differential equations using G′G2-expansion method

Alexandria Engineering Journal, 2018
A relatively new technique which is named as G′G2-expansion method is applied to attain exact solution of nonlinear fractional differential equations (NLFDEs).
Syed Tauseef Mohyud-Din, Sadaf Bibi
doaj   +1 more source

General Connectivity Distribution Functions for Growing Networks with Preferential Attachment of Fractional Power

, 2007
We study the general connectivity distribution functions for growing networks with preferential attachment of fractional power, $\Pi_{i} \propto k^{\alpha}$, using the Simon's method.
Barabási A.-L., Boas R. P., Hiroaki S. Yamada, Kazumoto Iguchi, Podlubny I.   +4 more
core   +1 more source