Results 41 to 50 of about 281,920 (272)

FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION

Journal of Applied Analysis & Computation, 2021
Summary: In the paper, using \(Z\)-transform technique, we study eigenvalues and eigenfunctions for a fractional boundary value problem with linear nabla difference equation. Furthermore, by topological degree theory and the obtained results of eigenvalues, we get at least one nontrivial solution for relevant nonlinear fractional boundary value problem.
Li, Qiaoluan, Liu, Yani, Zhou, Lina
openaire   +1 more source

Dietary Protein Intake and Peritoneal Protein Losses in Peritoneal Dialysis Patients

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Peritoneal dialysis (PD) patients lose protein in their waste dialysate, potentially increasing their risk for malnutrition. We wished to determine whether there was any association between losses and dietary protein intake (DPI). Methods DPI was assessed from 24‐h dietary recall using Nutrics software.
Haalah Shaaker, Andrew Davenport
wiley   +1 more source

Boundary value problems for the diffusion equation of the variable order in differential and difference settings

, 2012
Solutions of boundary value problems for a diffusion equation of fractional and variable order in differential and difference settings are studied. It is shown that the method of energy inequalities is applicable to obtaining a priori estimates for these
Alikhanov, Anatoly A. Alikhanov, Atanackovic, Caputo, Chen, Chen, Coimbra, Kilbas, Kochubey, Lin, Lorenzo, Luchko, Luchko, Mainardi, Mainardi, Meerschaert, Nahushev, Podlubny, Podlubny, Pskhu, Pskhu, Samarskiy, Shen, Shkhanukov-Lafishev, Shkhanukov-Lafishev, Shkhanukov-Lafishev, Uchaikin, Zhuang   +27 more
core   +1 more source

Oscillation Tests for Fractional Difference Equations

Tatra Mountains Mathematical Publications, 2018
Abstract In this paper, we study the oscillatory behavior of solutions of the fractional difference equation of the form Δ
George E. Chatzarakis, Palaniyappan Gokulraj, Thirunavukarasu Kalaimani   +2 more
openaire   +1 more source

A Hilbert Space Approach to Fractional Difference Equations [PDF]

, 2020
We formulate fractional difference equations of Riemann-Liouville and Caputo type in a functional analytical framework. Main results are existence of solutions on Hilbert space-valued weighted sequence spaces and a condition for stability of linear fractional difference equations.
Anh, Pham The, Babiarz, Artur, Czornik, Adam, Kitzing, Konrad, Niezabitowski, Michał, Siegmund, Stefan, Trostorff, Sascha, Tuan, Hoang The   +7 more
openaire   +2 more sources

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

A distinct numerical approach for the solution of some kind of initial value problem involving nonlinear q-fractional differential equations

پژوهش‌های ریاضی, 2022
The fractional calculus deals with the generalization of integration and differentiation of integer order to those ones of any order. The q-fractional differential equation usually describe the physical process imposed on the time scale set Tq.
اعظم فتحی پور, azam fathipour
doaj  

Difference numerical solutions for time-space fractional advection diffusion equation

Boundary Value Problems, 2019
In this paper, a time-space fractional advection diffusion equation is considered for the natural extension of the convection diffusion equation. An explicit difference scheme and an implicit difference scheme are presented. The stability and convergence
Fangfang Zhang, Xiaoyang Gao, Zhaokun Xie   +2 more
doaj   +1 more source

Sequence determinants of RNA G‐quadruplex unfolding by Arg‐rich regions

FEBS Letters, EarlyView.
We show that Arg‐rich peptides selectively unfold RNA G‐quadruplexes, but not RNA stem‐loops or DNA/RNA duplexes. This length‐dependent activity is inhibited by acidic residues and is conserved among SR and SR‐related proteins (SRSF1, SRSF3, SRSF9, U1‐70K, and U2AF1).
Naiduwadura Ivon Upekala De Silva, Puspa Kunwar, Md Ibnul Rifat Rahman, Joanna Koryo Kwao, Nathan Lehman, Zihan Zhang, Trenton Paul, Claire Cheng, Nicholas Truex, Hui‐Ting Lee, Jun Zhang   +10 more
wiley   +1 more source

Dual identities in fractional difference calculus within Riemann

, 2013
We Investigate two types of dual identities for Riemann fractional sums and differences. The first type relates nabla and delta type fractional sums and differences. The second type represented by the Q-operator relates left and right fractional sums and
Abdeljawad, Thabet
core   +1 more source