Results 41 to 50 of about 857,826 (292)
Fractal and Fractional, 2022 In this paper, we focus on the existence of Hilfer fractional stochastic differential systems via almost sectorial operators. The main results are obtained by using the concepts and ideas from fractional calculus, multivalued maps, semigroup theory ...
Sivajiganesan Sivasankar +1 more
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Operational Calculus for the General Fractional Derivative and Its Applications [PDF]
Fractional Calculus and Applied Analysis, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
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Weighted fractional Hardy operators and their commutators on generalized Morrey spaces over quasi-metric measure spaces [PDF]
, 2021 We study commutators of weighted fractional Hardy-type operators within the frameworks of local generalized Morrey spaces over quasi-metric measure spaces for a certain class of “radial” weights.
Samko, Natasha Gabatsuyevna +1 more
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Composition Formulae for the k-Fractional Calculus Operators Associated with k-Wright Function
Journal of Mathematics, 2020 In this article, the k-fractional-order integral and derivative operators including the k-hypergeometric function in the kernel are used for the k-Wright function; the results are presented for the k-Wright function.
D. L. Suthar
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N-Fractional Calculus Operator Method to the Euler Equation
Issues of Analysis, 2018 Summary: We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the \(N\) operator method in the fractional calculus to solve this equation in this paper. We take advantage of some results of previous studies related to the fractional calculus.
R. Yilmazer, O. Ozturk
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Some properties of Prabhakar-type fractional calculus operators [PDF]
Fractional Differential Calculus, 2016 In this paper we study some properties of the Prabhakar integrals and derivatives and of some of their extensions such as the regularized Prabhakar derivative or the Hilfer--Prabhakar derivative. Some Opial- and Hardy-type inequalities are derived. In the last section we point out on some relationships with probability theory.
Polito, Federico, Tomovski, Živorad
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Advances in Difference Equations, 2020 This article aims to establish certain image formulas associated with the fractional calculus operators with Appell function in the kernel and Caputo-type fractional differential operators involving Srivastava polynomials and extended Mittag-Leffler ...
Kottakkaran Sooppy Nisar +3 more
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Incorporating fractional operators into interaction dynamics of a chaotic biological model
Results in Physics, 2023 In the exploration of mathematical models in biology, the traditional use of integer-order calculus may fall short in adequately capturing elements such as randomness and memory.
Feng Li
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