Results 31 to 40 of about 39,837 (259)

On the Fractional Difference Equations of Order (2, q) [PDF]

Abstract and Applied Analysis, 2011
This paper presents a kind of new definition of fractional difference, fractional summation, and fractional difference equations and gives methods for explicitly solving fractional difference equations of order (2, q).
Cheng, Jin-Fa, Chu, Yu-Ming
openaire   +3 more sources

Stability and Convergence of Explicit Difference Method for Solving the 3-Dimensional Two-Sided Fractional Diffusion Equation [PDF]

Engineering and Technology Journal, 2012
In this paper, a numerical solution of the 3-dimensional two-sided fractional diffusion equation has been presented. The algorithm for the numerical solution for this equation is based on explicit finite difference method.
Iman Isho Gorial
doaj   +1 more source

A Newton Linearized Crank-Nicolson Method for the Nonlinear Space Fractional Sobolev Equation

Journal of Function Spaces, 2021
In this paper, one class of finite difference scheme is proposed to solve nonlinear space fractional Sobolev equation based on the Crank-Nicolson (CN) method.
Yifan Qin, Xiaocheng Yang, Yunzhu Ren, Yinghong Xu, Wahidullah Niazi   +4 more
doaj   +1 more source

Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation [PDF]

Archives of Control Sciences
In this paper,we present a theorem about stability of nonlinear fractional difference equation with Riemann-Liouvile difference operator. The result is a version of classical theorem on linear approximation and to derive them,we prove the variation of ...
Pham The Anh, Adam Czornik, Michał Niezabitowski   +2 more
doaj   +1 more source

Weighted Average Finite Difference Methods for Fractional Reaction-Subdiffusion Equation

Walailak Journal of Science and Technology, 2013
In this article, a numerical study for fractional reaction-subdiffusion equations is introduced using a class of finite difference methods. These methods are extensions of the weighted average methods for ordinary (non-fractional) reaction-subdiffusion ...
Nasser Hassen SWEILAM, Mohamed Meabed KHADER, Mohamed ADEL   +2 more
doaj   +1 more source

Approximate Solution of Sub diffusion Bio heat Transfer Equation

مجلة بغداد للعلوم, 2023
In this paper, author’s study sub diffusion bio heat transfer model and developed explicit finite difference scheme for time fractional sub diffusion bio heat transfer equation by using caputo fabrizio fractional derivative.
Jagdish Sonawane , Bahusaheb Sontakke, Kalyanrao Takale   +2 more
doaj   +1 more source

The Relationship Between Physical Activity and Left Ventricular Remodeling in Childhood Cancer Survivors Treated With Anthracyclines: A Cross‐Sectional Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan, Sitong Chen, F. Lennie Wong, Nathan Young, Anna Qi, Christopher Davis, Sanjeet Hegde, Nicholas Gloude, Kasey J. Leger, Kelly D. Getz, Francisco Contijoch, Kirsten Ness, Bonnie Ky, Dennis Kuo, Sheri J. Hartman, Saro H. Armenian   +15 more
wiley   +1 more source

Numerical Algorithm for Calculating the Time Domain Response of Fractional Order Transfer Function

Fractal and Fractional, 2022
This paper proposes new numerical algorithms for calculating the time domain responses of fractional order transfer functions (FOTFs). FOTFs are divided into two categories, explicit fractional order transfer functions (EFOTFs) and implicit fractional ...
Lu Bai, Dingyü Xue
doaj   +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

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