Results 31 to 40 of about 281,920 (272)

Modeling with fractional difference equations

Journal of Mathematical Analysis and Applications, 2010
A fractional sum of a function \(f\) is introduced as \[ \Delta _{a}^{-\alpha}f(t)=\frac{1}{\Gamma (\alpha )}\sum_{s=a}^{t-\alpha }(t-s-1)^{(\alpha -1)}f(s), \] where \(a\in R,\) \(\alpha >0\), \(x^{(\alpha )}=\Gamma (x+1)/\Gamma (x-\alpha +1),\) \(f\) is defined for \(s=a\;(\text{mod }1),\) and \(\Delta _{a}^{-\alpha }f\) is defined for \(t=a+\alpha \;
Atıcı, Ferhan M., Şengül, Sevgi
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Some new Gompertz fractional difference equations

Involve, a Journal of Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cuchta, Tom, Fincham, Brooke
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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
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Existence of solutions for fractional q-difference equations

Studia Universitatis Babes-Bolyai Matematica, 2023
"In this paper, we obtain some existence results for the integral boundary value problems of nonlinear fractional q-difference equations. The differential operator is taken in the Riemann-Liouville sense."
Ülke, Ö., Topal, F.S.
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Discrete fractional calculus with exponential memory: Propositions, numerical schemes and asymptotic stability

Nonlinear Analysis, 2023
A new fractional difference with an exponential kernel function is proposed in this study. First, a difference operator is defined by the exponential function.
Guang Yang, Guo-Cheng Wu, Hui Fu
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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
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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
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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
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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
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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
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