Results 11 to 20 of about 1,618,914 (306)
Multiplicatively Simpson Type Inequalities via Fractional Integral
Symmetry, 2023 Multiplicative calculus, also called non-Newtonian calculus, represents an alternative approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type of calculus was first introduced by Grossman and Katz and it provides a defined
A. Moumen +6 more
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Fractal and Fractional, 2023 This paper presents an adaptive fixed-time fractional integral control for externally disturbed Euler–Lagrange systems. In the first step of the control design, the approach of fractional-order fixed-time integral nonsingular terminal sliding mode ...
Saim Ahmed +3 more
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Mathematics, 2023 In the frame of fractional calculus, the term convexity is primarily utilized to address several challenges in both pure and applied research. The main focus and objective of this review paper is to present Hermite–Hadamard (H-H)-type inequalities ...
M. Tariq, S. Ntouyas, A. A. Shaikh
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Fractional Integration and Cointegration [PDF]
, 2023 Abstract Fractionally integrated and fractionally cointegrated time series are classes of models that generalize standard notions of integrated and cointegrated time series. The fractional models are characterized by a small number of memory parameters that control the degree of fractional integration and/or cointegration.
Hualde, Javier +1 more
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On Some Fractional Integral Inequalities Involving Caputo–Fabrizio Integral Operator
Axioms, 2021 In this paper, we deal with the Caputo–Fabrizio fractional integral operator with a nonsingular kernel and establish some new integral inequalities for the Chebyshev functional in the case of synchronous function by employing the fractional integral ...
Vaijanath L. Chinchane +3 more
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New Fractional Integral Inequalities for Convex Functions Pertaining to Caputo–Fabrizio Operator
Fractal and Fractional, 2022 In this article, a generalized midpoint-type Hermite–Hadamard inequality and Pachpatte-type inequality via a new fractional integral operator associated with the Caputo–Fabrizio derivative are presented.
S. Sahoo +4 more
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International Journal of Computational Intelligence Systems, 2022 In this article, the notion of interval-valued preinvex functions involving the Riemann–Liouville fractional integral is described. By applying this, some new refinements of the Hermite–Hadamard inequality for the fractional integral operator are ...
H. Srivastava +4 more
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Journal of Nonlinear Mathematical Physics, 2021 The general fractional calculus becomes popular in continuous time random walk recently. However, the boundedness condition of the general fractional integral is one of the fundamental problems. It wasn’t given yet.
Qingduan Fan, Guo-cheng Wu, Hui Fu
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Fractional integration toolbox [PDF]
Fractional Calculus and Applied Analysis, 2013 The problems formulated in the fractional calculus framework often require numerical fractional integration/differentiation of large data sets. Several existing fractional control toolboxes are capable of performing fractional calculus operations, however, none of them can efficiently perform numerical integration on multiple large data sequences.
Marinov, Toma +2 more
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New General Variants of Chebyshev Type Inequalities via Generalized Fractional Integral Operators
, 2021 In this study, new and general variants have been obtained on Chebyshev’s inequality, which is quite old in inequality theory but also a useful and effective type of inequality.
A. Akdemi̇r +3 more
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