Results 21 to 30 of about 10,348 (263)
Analysis of fractal-fractional model of tumor-immune interaction
Results in Physics, 2021 Recently, Atangana proposed new operators by combining the fractional and fractal calculus. These recently proposed operators, referred to as fractal-fractional operators, have been widely used to study the complex dynamics of a problem.
Shabir Ahmad +4 more
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Fractal and Fractional, 2021 In this work, we investigate analytically the solutions of a nonlinear div-curl system with fractional derivatives of the Riemann–Liouville or Caputo types.
Briceyda B. Delgado +1 more
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Weighted Fractional Calculus: A General Class of Operators
Fractal and Fractional, 2022 We conduct a formal study of a particular class of fractional operators, namely weighted fractional calculus, and its extension to the more general class known as weighted fractional calculus with respect to functions.
Arran Fernandez, Hafiz Muhammad Fahad
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Consistent Approximation of Fractional Order Operators [PDF]
Journal of Dynamic Systems, Measurement, and Control, 2021 Abstract Fractional order controllers become increasingly popular due to their versatility and superiority in various performances. However, the bottleneck in deploying these tools in practice is related to their analog or numerical implementation.
Yiheng Wei +3 more
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Mathematics, 2021 In this paper, we study the recently proposed fractional-order operators with general analytic kernels. The kernel of these operators is a locally uniformly convergent power series that can be chosen adequately to obtain a family of fractional operators ...
Oscar Martínez-Fuentes +3 more
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Analysis of the Fractional HIV Model under Proportional Hadamard-Caputo Operators
Fractal and Fractional, 2023 Modeling human immunodeficiency virus (HIV) via fractional operators has several benefits over the classical integer-order HIV model. The reason is that the fractional HIV model relies not only on the recent status but also on the former conduct of the ...
Areej A. Almoneef +2 more
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Endpoint Estimates for Fractional Hardy Operators and Their Commutators on Hardy Spaces
Journal of Function Spaces, 2014 (Hpℝn,Lqℝn) bounds of fractional Hardy operators are obtained. Moreover, the estimates for commutators of fractional Hardy operators on Hardy spaces are worked out.
Jiang Zhou, Dinghuai Wang
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International Journal of Differential Equations, 2019 Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases.
Qinwu Xu, Zhoushun Zheng
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Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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The Minkowski inequality involving generalized k-fractional conformable integral
Journal of Inequalities and Applications, 2019 In the research paper, the authors exploit the definition of a new class of fractional integral operators, recently proposed by Jarad et al. (Adv. Differ. Equ.
Shahid Mubeen +2 more
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