Results 61 to 70 of about 1,369,996 (356)
Journal of the Nigerian Society of Physical Sciences, 2023 Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo and Caputo-Fabrizio derivatives, a frictional model of visceral leishmaniosis was mathematically examined ...
Dalal Khalid Almutairi +5 more
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A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk Journal of Science, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
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ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus. The Caputo's definition of fractional derivative of order 𝛼 has not been obviously applied in the field. However, it plays a vital role in other areas like physics and engineering due to its simple
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Fractional hamilton formalism within caputo’s derivative [PDF]
Czechoslovak Journal of Physics, 2006 In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional Hamiltonian equations are obtained.
Om P. Agrawal, Dumitru Baleanu
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Boundary Value Problems, 2017 By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu +2 more
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Mathematical Analysis of Oxygen Uptake Rate in Continuous Process under Caputo Derivative
Mathematics, 2021 In this paper, the wastewater treatment model is investigated by means of one of the most robust fractional derivatives, namely, the Caputo fractional derivative.
Rubayyi T. Alqahtani +2 more
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Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
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Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
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Laplace Variational Iteration Method for Modified Fractional Derivatives with Non-singular Kernel [PDF]
Journal of Applied and Computational Mechanics, 2020 A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative ...
Huitzilín Yépez-Martínez +1 more
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Axioms, 2020 In this article, we discuss the existence and uniqueness of extremal solutions for nonlinear initial value problems of fractional differential equations involving the ψ -Caputo derivative. Moreover, some uniqueness results are obtained.
C. Derbazi +3 more
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