Results 261 to 270 of about 6,885,149 (320)
Stochastic differential equations on fractal sets
Stochastics, 2020 In this manuscript, we review fractal calculus and random processes. Random variables and processes on totally disconnected fractal sets are defined. Random walks on fractal middle-ξ Cantor sets are suggested and corresponding variances are given which ...
A. Golmankhaneh, C. Tunç
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Optimization on fractal sets [PDF]
Optimization Letters, 2018 In the sequel, we outline necessary and sufficient condition to the existence of extremas of a function on a self-similar set, and we describe discrete gradient algorithm to find the extrema.
Nizare Riane, Claire David
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Fractals, 2021
The purpose of this work is to investigate some inequalities for generalized [Formula: see text]-convexity on fractal sets [Formula: see text], which are associated with Simpson-like inequalities. To this end, an improved version of Hölder inequality and
C. Luo, Yuping Yu, T. Du
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The purpose of this work is to investigate some inequalities for generalized [Formula: see text]-convexity on fractal sets [Formula: see text], which are associated with Simpson-like inequalities. To this end, an improved version of Hölder inequality and
C. Luo, Yuping Yu, T. Du
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Characterizing riddled fractal sets
Physical Review E, 1996Recent studies have revealed that riddled fractal sets, sets whose conventionally defined fractal dimensions are integers, occur commonly in chaotic dynamical systems. We demonstrate that these exotic fractal sets exhibit a sign-singular scaling behavior with nontrivial scaling exponents.
, Lai, , Grebogi
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, 2020
This article aims to investigate certain inequalities for generalized h-convexity on fractal sets R α , which are related to the famous Fejer–Hermite–Hadamard inequality. For this purpose, two identities for local differentiable mappings are established,
C. Luo, Hao Wang, T. Du
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This article aims to investigate certain inequalities for generalized h-convexity on fractal sets R α , which are related to the famous Fejer–Hermite–Hadamard inequality. For this purpose, two identities for local differentiable mappings are established,
C. Luo, Hao Wang, T. Du
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Battery discharging model on fractal time sets
International journal of nonlinear sciences and numerical simulation, 2021This article is devoted to propose and investigate the fractal battery discharging model, which is one of the well-known models with a memory effect. It is presented as to how non-locality affects the behavior of solutions and how the current state of ...
Karmina K. Ali +2 more
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GENERALIZED h-CONVEXITY ON FRACTAL SETS AND SOME GENERALIZED HADAMARD-TYPE INEQUALITIES
, 2020In this paper, we introduce the α-type concept of generalized h-convex function on real linear fractal sets ℝα (0 < α ≤ 1), from which the known definitions of generalized convex functions and gene...
Wenbing Sun
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Whitney's critical set in fractal
Chaos, Solitons & Fractals, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong, Lin, Lifeng, Xi
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