Results 11 to 20 of about 8,551 (258)
On the stability of some fractional-order non-autonomous systems
Electronic Journal of Qualitative Theory of Differential Equations, 2007 The fractional calculus (integration and differentiation of fractional-order) is a one of the singular integral and integro-differential operators. In this work a class of fractional-order non-autonomous systems will be considered.
Sheren Ahmed Abd El-Salam +1 more
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Why Do Big Data and Machine Learning Entail the Fractional Dynamics?
Entropy, 2021 Fractional-order calculus is about the differentiation and integration of non-integer orders. Fractional calculus (FC) is based on fractional-order thinking (FOT) and has been shown to help us to understand complex systems better, improve the processing ...
Haoyu Niu, YangQuan Chen, Bruce J. West
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On the stability of a fractional-order differential equation with nonlocal initial condition
Electronic Journal of Qualitative Theory of Differential Equations, 2008 The topic of fractional calculus (integration and differentiation of fractional-order), which concerns singular integral and integro-differential operators, is enjoying interest among mathematicians, physicists and engineers. In this work, we investigate
Ahmed El-Sayed +1 more
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
Journal of Mathematics, 2021 The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol.
Waseem Ahmad Khan +4 more
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Fractal and Fractional, 2023 This paper studies a new class of instantaneous and non-instantaneous impulsive boundary value problem involving the generalized ψ-Caputo fractional derivative with a weight.
Dongping Li +3 more
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Fractional order differentiation by integration with Jacobi polynomials [PDF]
2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012 The differentiation by integration method with Jacobi polynomials was originally introduced by Mboup, Join and Fliess. This paper generalizes this method from the integer order to the fractional order for estimating the fractional order derivatives of noisy signals.
Liu, Da-Yan +3 more
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Fractal and Fractional, 2021 This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim +2 more
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Additive normal forms and integration of differential fractions
Journal of Symbolic Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boulier, François +4 more
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Direct instantaneous torque control system for switched reluctance motor in electric vehicles
The Journal of Engineering, 2019 Switch reluctance motor is suitable for an electric vehicle driving system, which has the advantages of simple structure, high reliability of system and wide range of speed adjustment.
Lijun Liu +3 more
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Fractional Pantograph Delay Equations Solving by the Meshless Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
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