Results 221 to 230 of about 39,837 (259)

Fractional q-Difference Equations

2012
As in the classical theory of ordinary fractional differential equations, q-difference equations of fractional order are divided into linear, nonlinear, homogeneous, and inhomogeneous equations with constant and variable coefficients. This chapter is devoted to certain problems of fractional q-difference equations based on the basic Riemann–Liouville ...
Mahmoud H. Annaby, Zeinab S. Mansour
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A note on the fractional hyperbolic differential and difference equations

Applied Mathematics and Computation, 2011
The paper presents a first order difference scheme applied on an hyperbolic boundary value problem with a fractional differential equation with a self-adjoint operator \(A(t)\) formulated in a Hilbert space \(H\). The stability estimates for the solution of the difference scheme are shown.
Allaberen Ashyralyev, Fadime Dal, Zehra Pinar   +2 more
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Difference equations and continued fractions

Nonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite difference methods for fractional dispersion equations

Applied Mathematics and Computation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lijuan Su, Wenqia Wang, Qiuyan Xu
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Asymptotic stability of (q, h)-fractional difference equations

Applied Mathematics and Computation, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mei Wang, Feifei Du, Churong Chen, Baoguo Jia   +3 more
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On the Riccati Difference Equation and Continued Fractions

Russian Journal of Mathematical Physics
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Viable Solutions to Fractional Difference and Differential Equations

2015
The authors’ purpose is to consider and formulate conditions providing the existence of viable solutions to a discrete fractional equation via viability properties of fractional differential equations. We show that the existence of viable solutions to a fractional differential equation suffices to get viable solutions to a difference fractional ...
Ewa Girejko, Dorota Mozyrska, Malgorzata Wyrwas   +2 more
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Linear difference equations and generalized continued fractions

Computing, 1979
In one of his papers [5] Gautschi presents an algorithm for determining the minimal solution of a second-order homogeneous difference equation. The method is based on the connection between the existence of a minimal solution of such a difference equation and the convergence of a certain continued fraction.
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Stability of difference schemes for fractional equations

Differential Equations, 2015
The authors studies the stability of the approximate schemes for the Cauchy problem with the fractional derivative \[ (D^{\alpha}_{t} u)(t)= A u(t), \qquad u(0)= x, \qquad 0< \alpha \leq 1, \] in the Banach space. The approximate schemes are constructed using the explicit and implicit finite difference formulas.
Liu, Ru, Li, Miao, Piskarev, S. I.
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Chaos in discrete fractional difference equations

Pramana, 2016
Recently, the discrete fractional calculus (DFC) is receiving attention due to its potential applications in the mathematical modelling of real-world phenomena with memory effects. In the present paper, the chaotic behaviour of fractional difference equations for the tent map, Gauss map and 2x(mod 1) map are studied numerically.
AMEY DESHPANDE, VARSHA DAFTARDAR-GEJJI
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