Results 81 to 90 of about 697,977 (380)

Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters

, 2018
By using the method of reducing the order of a derivative, the higher-order fractional differential equation is transformed into the lower-order fractional differential equation and combined with the mixed monotone operator, a unique positive solution is
Limin Guo, Lishan Liu, Yonghong Wu
semanticscholar   +1 more source

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

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

Results in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif, E.A-B. Abdel-Salam, M.A. El-Aasser   +2 more
doaj   +1 more source

Regularization of differential equations by fractional noise

Stochastic Processes and their Applications, 2002
Existence and uniqueness of a strong solution to the differential equation \[ X_t= x + \int _0^t b(s,X_s)\,ds + B^H_t, \quad t\geq 0, \] is established, where \(B^H_t\) is a fractional Brownian motion with the Hurst parameter \(H\in (0,1)\) and \(b(s,x)\) is a bounded Borel function with at most linear growth in \(x\) (for \(H\leq 1/2\)) or Hölder ...
Youssef Ouknine, David Nualart
openaire   +2 more sources

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

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

Highly multiplexed digital PCR assay for simultaneous quantification of variant allele frequencies and copy number alterations of KRAS and GNAS in pancreatic cancer precursors

Molecular Oncology, EarlyView.
Combining melting curve analysis enhances the multiplexing capability of digital PCR. Here, we developed a 14‐plex assay to simultaneously measure single nucleotide mutations and amplifications of KRAS and GNAS, which are common driver genes in pancreatic cancer precursors. This assay accurately quantified variant allele frequencies in clinical samples
Junko Tanaka, Tatsuo Nakagawa, Yusuke Ono, Yoshio Kamura, Takeshi Ishida, Hidemasa Kawabata, Kenji Takahashi, Hiroki Sato, Andrew S. Liss, Yusuke Mizukami, Takahide Yokoi   +10 more
wiley   +1 more source

Lie symmetry analysis and conservation laws for the time fractional simplified modified Kawahara equation

Open Physics, 2018
In this work, Lie symmetry analysis for the time fractional simplified modified Kawahara (SMK) equation with Riemann-Liouville (RL) derivative, is analyzed.
Baleanu Dumitru, Inc Mustafa, Yusuf Abdullahi, Aliyu Aliyu Isa   +3 more
doaj   +1 more source

Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations

Complexity, 2020
In this paper, three types of fractional order partial differential equations, including the fractional Cauchy–Riemann equation, fractional acoustic wave equation, and two-dimensional space partial differential equation with time-fractional-order, are ...
Haidong Qu, Zihang She, Xuan Liu
doaj   +1 more source

Stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index $H> 1/2$

, 2011
We consider a mixed stochastic differential equation driven by possibly dependent fractional Brownian motion and Brownian motion.
Garsia A. M., Georgiy M. Shevchenko, Kleptsyna M., Kubilius K., Nualart D., Samko S., Yulia S. Mishura   +6 more
core   +1 more source