Results 21 to 30 of about 9,626 (263)
New Properties and Sets Derived from the
Fractal and Fractional, 2023 Due to their practicality and convenient parametrization, fractals derived from iterated function systems (IFSs) constitute powerful tools widely used to model natural and synthetic shapes.
Mario A. Aguirre-López +2 more
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On the Fractional-Order Complex Cosine Map: Fractal Analysis, Julia Set Control and Synchronization
Mathematics, 2023 In this paper, we introduce a generalized complex discrete fractional-order cosine map. Dynamical analysis of the proposed complex fractional order map is examined. The existence and stability characteristics of the map’s fixed points are explored.
A. A. Elsadany +3 more
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New Derivatives on the Fractal Subset of Real-Line
Entropy, 2016 In this manuscript we introduced the generalized fractional Riemann-Liouville and Caputo like derivative for functions defined on fractal sets. The Gamma, Mittag-Leffler and Beta functions were defined on the fractal sets.
Alireza Khalili Golmankhaneh +1 more
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Advances in Difference Equations, 2021 The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability and multifaceted nature of fractal sets that ...
Yu-Ming Chu +4 more
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Diffusion on Middle-ξ Cantor Sets
Entropy, 2018 In this paper, we study Cζ-calculus on generalized Cantor sets, which have self-similar properties and fractional dimensions that exceed their topological dimensions.
Alireza Khalili Golmankhaneh +3 more
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Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
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Vanishing viscosity for fractal sets
Discrete and Continuous Dynamical Systems, 2010 We imbed an array of thin highly conductive fibers in a surrounding two-dimensional medium with small viscosity. The resulting composite medium is described by a second order elliptic operator in divergence form with discontinuous singular coefficients on an open domain of the plane.
Umberto Mosco, VIVALDI, Maria Agostina
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Generic Hölder level sets on fractals
Journal of Mathematical Analysis and Applications, 2022 Hausdorff dimensions of level sets of generic continuous functions defined on fractals were considered in two papers by R. Balka, Z. Buczolich and M. Elekes. In those papers the topological Hausdorff dimension of fractals was defined. In this paper we start to study level sets of generic $1$-Hölder-$α$ functions defined on fractals.
Zoltán Buczolich +2 more
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Generalized s-Convex Functions on Fractal Sets
Abstract and Applied Analysis, 2014 We introduce two kinds of generalized s-convex functions on real linear fractal sets Rα ...
Huixia Mo, Xin Sui
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Some New Fractal Milne-Type Integral Inequalities via Generalized Convexity with Applications
Fractal and Fractional, 2023 This study aims to construct some new Milne-type integral inequalities for functions whose modulus of the local fractional derivatives is convex on the fractal set.
Badreddine Meftah +3 more
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