Stability and Convergence of Explicit Difference Method for Solving the 3-Dimensional Two-Sided Fractional Diffusion Equation [PDF]
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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On the Fractional Difference Equations of Order (2, q) [PDF]
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
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A Newton Linearized Crank-Nicolson Method for the Nonlinear Space Fractional Sobolev Equation
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 +4 more
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Linearized asymptotic stability for nabla Riemann-Liouville fractional difference equation [PDF]
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 +2 more
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Weighted Average Finite Difference Methods for Fractional Reaction-Subdiffusion Equation
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 +2 more
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Difference numerical solutions for time-space fractional advection diffusion equation
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 +2 more
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Approximate Solution of Sub diffusion Bio heat Transfer Equation
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 +2 more
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Oscillation properties of solutions of fractional difference equations
In this article, studied the properties of the oscillation of fractional difference equations, and we obtain some results. The results we obtained are an expansion and further development of highly known results. Then we showed them with examples.
Seçer, Aydın, Bayram, Mustafa
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Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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Numerical Algorithm for Calculating the Time Domain Response of Fractional Order Transfer Function
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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