Results 11 to 20 of about 26,220 (280)
Discrete fractional calculus for interval–valued systems
Fuzzy Sets and Systems, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Lan-Lan +3 more
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Gronwall’s inequality on discrete fractional calculus
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atici, Ferhan M., Eloe, Paul W.
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Matrix approach to discrete fractional calculus II: Partial fractional differential equations [PDF]
Journal of Computational Physics, 2009 33 pages, 12 ...
Podlubny, Igor +4 more
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The Laplace transform in discrete fractional calculus
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Fractional-Order Discrete-Time Reaction Diffusion Systems
Mathematics, 2023 Reaction–diffusion systems have a broad variety of applications, particularly in biology, and it is well known that fractional calculus has been successfully used with this type of system.
Othman Abdullah Almatroud +3 more
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Convexity in fractional h-discrete calculus
Differential Equations & Applications, 2022 Summary: In this paper, we consider a time scale \(h\mathbb{N}_a\), where \(a\in\mathbb{R}\) and \(h\in\mathbb{R}^+\). The fractional \(h\)-difference operator is defined in the sense of Riemann-Liouville with the forward difference operator \(\Delta \).
Atıcı, Ferhan M. +1 more
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Fractal and Fractional, 2023 This research investigates the synchronization of distributed delayed discrete-time fractional-order complex-valued neural networks. The necessary conditions have been established for the stability of the proposed networks using the theory of discrete ...
R. Perumal +5 more
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Discretized fractional substantial calculus [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 This paper discusses the properties and the numerical discretizations of the fractional substantial integral $$I_s^ f(x)=\frac{1}{ ( )} \int_{a}^x{\left(x- \right)^{ -1}}e^{- (x- )}{f( )}d , >0, $$ and the fractional substantial derivative $$D_s^ f(x)=D_s^m[I_s^ f(x)], =m- ,$$ where $D_s=\frac{\partial}{\partial x}+ =D+ $, $ $ can ...
Chen, Minghua, Deng, Weihua
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On Variable-Order Fractional Discrete Neural Networks: Existence, Uniqueness and Stability
Fractal and Fractional, 2023 Given the recent advances regarding the studies of discrete fractional calculus, and the fact that the dynamics of discrete-time neural networks in fractional variable-order cases have not been sufficiently documented, herein, we consider a novel class ...
Othman Abdullah Almatroud +5 more
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Chaos in a two dimensional fractional discrete Hopfield neural network and its control
Alexandria Engineering Journal, 2023 A novel two-dimensional fractional discrete Hopfield neural network is presented in this study, which is based on discrete fractional calculus. This network incorporates both constant and variable orders, and its behavior is examined using phase plots ...
Abdallah Al-Husban +7 more
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