Results 11 to 20 of about 10,103 (245)
International Journal of Mathematics and Mathematical SciencesThe Y-function has emerged as a significant tool in generalized fractional calculus due to its ability to unify and extend numerous classical special functions and hypergeometric-type functions.
Engdasew Birhane, D. L. Suthar
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Sensors, 2018 In this paper, a control method for a hydraulic loading system of an electromechanical platform based on a fractional-order PID (Proportion-Integration-Differentiation) controller is proposed, which is used to drive the loading system of a mechatronic ...
Ning Wang +4 more
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Fractional order differentiation by integration with Jacobi polynomials [PDF]
, 2012 International audienceThe 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 ...
Laleg-Kirati, Taous-Meriem +3 more
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Testing the Marshall-Lerner condition in Kenya [PDF]
, 2012 In this paper we examine the Marshall-Lerner (ML) condition for the Kenyan economy. In particular, we use quarterly data on the log of real exchange rates, export-import ratio and relative (US) income for the time period 1996q1 – 2011q4, and employ ...
Caporale, GM, Gil-Alana, LA, Mudida, R
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Fractional integration, differentiation, and weighted Bergman spaces [PDF]
, 1999 We study the action of fractional differentiation and integration on weighted Bergman spaces and also the Taylor coefficients of functions in certain subclasses of these spaces.
Vukotić, Dragan +5 more
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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, 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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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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Modelling long-run trends and cycles in financial time series data [PDF]
, 2013 Copyright @ 2012 Wiley Publishing Ltd. This is the accepted version of the following article: "Modelling long-run trends and cycles in financial time series data", Journal of Time Series Analysis, 34(3), 405-421, 2013, which has been published in final ...
Cuñado, J, Gil-Alana, LA
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