Results 51 to 60 of about 120,593 (286)

Fractional Differential Equations and Expansions in Fractional Powers

Symmetry, 2023
We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci   +2 more
openaire   +3 more sources

Evaluating the Utility of Paired Tumor and Germline Targeted DNA Sequencing for Pediatric Oncology Patients: A Single Institution Report

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Objective To evaluate the diagnostic yield and utility of universal paired tumor–normal multigene panel sequencing in newly diagnosed pediatric solid and central nervous system (CNS) tumor patients and to compare the detection of germline pathogenic/likely pathogenic variants (PV/LPVs) against established clinical referral criteria for cancer ...
Natalie Waligorski, Rebecca Ronsley, Shannon M. Stasi, Jeffrey Stevens, Erin R. Rudzinski, Christina M. Lockwood, Sarah E. S. Leary, Bonnie L. Cole, Michelle A. Ting, Vera Paulson   +9 more
wiley   +1 more source

Mixed Order Fractional Differential Equations [PDF]

Mathematics, 2017
This paper studies fractional differential equations (FDEs) with mixed fractional derivatives. Existence, uniqueness, stability, and asymptotic results are derived.
Michal Fečkan, JinRong Wang
openaire   +3 more sources

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

On nonlocal problem with fractional Riemann-Liouville derivatives for a mixed-type equation

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
The unique solvability is investigated for the problem of equation with partial fractional derivative of Riemann-Liouville and boundary condition that contains the generalized operator of fractional integro-differentiation. The uniqueness theorem for the
Anna V Tarasenko, Irina P Egorova
doaj   +1 more source

A Model for Persistent Levy Motion

, 1999
We propose the model, which allows us to approximate fractional Levy noise and fractional Levy motion. Our model is based (i) on the Gnedenko limit theorem for an attraction basin of stable probability law, and (ii) on regarding fractional noise as the ...
A.V Chechkin, Bachelier, Blummental, Blummental, Bouchaud, Darling, Kolmogorov, Maejima, Magre, Mandelbrot, Mandelbrot, Mandelbrot, Mantegna, Mantegna, Mantegna, Peng, Rambaldi, Schlesinger, Schlesinger, Taqqu, Umeno, V.Yu Gonchar, West, Wiener, Zaslavsky, Zimbardo   +25 more
core   +2 more sources

Fractional Sobolev and Hardy-Littlewood-Sobolev inequalities [PDF]

, 2014
This work focuses on an improved fractional Sobolev inequality with a remainder term involving the Hardy-Littlewood-Sobolev inequality which has been proved recently. By extending a recent result on the standard Laplacian to the fractional case, we offer
Jankowiak, Gaspard, Nguyen, Van Hoang
core   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source

Hybrid Systems and Control With Fractional Dynamics (I): Modeling and Analysis

, 2014
No mixed research of hybrid and fractional-order systems into a cohesive and multifaceted whole can be found in the literature. This paper focuses on such a synergistic approach of the theories of both branches, which is believed to give additional ...
HosseinNia, S. Hassan, Tejado, Ines, Vinagre, Blas M.   +2 more
core   +1 more source

On Generalized Fractional Differentiator Signals [PDF]

Discrete Dynamics in Nature and Society, 2013
By employing the generalized fractional differential operator, we introduce a system of fractional order derivative for a uniformly sampled polynomial signal. The calculation of the bring in signal depends on the additive combination of the weighted bring-in ofNcascaded digital differentiators. The weights are imposed in a closed formula containing the
Hamid A. Jalab, Rabha W. Ibrahim
openaire   +2 more sources