Results 231 to 240 of about 281,920 (272)

Stability Analysis of Impulsive Fractional Difference Equations

Fractional Calculus and Applied Analysis, 2018
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Wu, Guo-Cheng, Baleanu, Dumitru
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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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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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Difference equations and continued fractions

Nonlinear Analysis: Theory, Methods & Applications, 2008
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Asymptotic stability of (q, h)-fractional difference equations

Applied Mathematics and Computation, 2019
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Mei Wang, Feifei Du, Churong Chen, Baoguo Jia   +3 more
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Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations.
Churong Chen, Martin Bohner, Baoguo Jia
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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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Fractional Difference Equations with Initial Time Difference

Communications on Applied Nonlinear Analysis
In this paper, we consider non-linear fractional difference equations at different initial times and establish the existence of solutions using monotone iterative technique.
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Solutions of Perturbed Linear Nabla Fractional Difference Equations

Differential Equations and Dynamical Systems, 2013
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Caputo delta weakly fractional difference equations

Fractional Calculus and Applied Analysis, 2022
Michal Fečkan, Michal Pospíšil, Marius-F. Danca, JinRong Wang   +3 more
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