Results 21 to 30 of about 26,220 (280)
MODELING AFTERSHOCKS BY FRACTIONAL CALCULUS: EXACT DISCRETIZATION VERSUS APPROXIMATE DISCRETIZATION
Fractals, 2021 This paper suggests two fractional differences for aftershock modeling with heavy tails. Discrete fractional calculus is a straightforward tool on isolated time scale. On the other hand, the fractional difference also can be derived by standard finite difference method when the difference formula is convergent.
Kong, Hua, Yang, Guang, Luo, Cheng
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Mathematics, 2021 General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the nonlocal properties of linear and nonlinear dynamical systems are studied by using general fractional calculus, equations with general fractional ...
Vasily E. Tarasov
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On Discrete Fractional Integral Inequalities for a Class of Functions
Complexity, 2020 Discrete fractional calculus ℱC is proposed to depict neural systems with memory impacts. This research article aims to investigate the consequences in the frame of the discrete proportional fractional operator.
Saima Rashid +3 more
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Novel two dimensional fractional-order discrete chaotic map and its application to image encryption
Applied Computing and Informatics, 2018 A new fractional two dimensional triangle function combination discrete chaotic map (2D-TFCDM) is proposed by utilizing the discrete fractional calculus. Furthermore, the chaos behaviors are numerically discussed in the fractional-order difference.
Zeyu Liu, Tiecheng Xia
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Review of Some Promising Fractional Physical Models [PDF]
, 2015 Fractional dynamics is a field of study in physics and mechanics investigating the behavior of objects and systems that are characterized by power-law non-locality, power-law long-term memory or fractal properties by using integrations and ...
Tarasov, Vasily E.
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On Discrete Delta Caputo–Fabrizio Fractional Operators and Monotonicity Analysis
Fractal and Fractional, 2021 The discrete delta Caputo-Fabrizio fractional differences and sums are proposed to distinguish their monotonicity analysis from the sense of Riemann and Caputo operators on the time scale Z.
Pshtiwan Othman Mohammed +2 more
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Discrete Analogue of Fishburn’s Fractional-Order Stochastic Dominance
Axioms, 2023 A stochastic dominance (SD) relation can be defined by two different perspectives: One from the view of distributions, and the other one from the view of expected utilities.
Hoover H. F. Yin +4 more
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Discrete Mittag-Leffler Functions in Linear Fractional Difference Equations
Abstract and Applied Analysis, 2011 This paper investigates some initial value problems in discrete fractional calculus. We introduce a linear difference equation of fractional order along with suitable initial conditions of fractional type and prove the existence and uniqueness of the ...
Jan Čermák +2 more
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Discrete chaos in a novel two-dimensional fractional chaotic map
Advances in Difference Equations, 2018 In this paper, a two-dimensional discrete fractional reduced Lorenz map is achieved by utilizing discrete fractional calculus. By adopting the bifurcation diagrams, chaos diagram, and phase portraits, the chaotic dynamics of the two-dimensional discrete ...
Jie Ran
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Coordination of Classical and Dynamic Inequalities Complying on Time Scales
European Journal of Mathematical Analysis, 2023 In this research article, we present extensions of some classical inequalities such as Schweitzer, Pólya–Szegö, Kantorovich and Greub–Rheinboldt inequalities of fractional calculus on time scales. To investigate generalizations of such types of classical
Muhammad Jibril Shahab Sahir
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