Results 71 to 80 of about 19,827 (284)
Mathematical Model of Fractional Duffing Oscillator with Variable Memory
Mathematics, 2020 The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
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Caputo-Type Modification of the Erdélyi-Kober Fractional Derivative [PDF]
, 2007 2000 Math. Subject Classification: 26A33; 33E12, 33E30, 44A15, 45J05The Caputo fractional derivative is one of the most used definitions of a fractional derivative along with the Riemann-Liouville and the Grünwald- Letnikov ones.
Luchko, Yury, Trujillo, Juan
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On the Leibniz rule and Laplace transform for fractional derivatives
, 2019 Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan +3 more
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Fractional generalizations of filtering problems and their associated fractional Zakai equations [PDF]
, 2014 In this paper we discuss fractional generalizations of the filtering problem. The ”fractional” nature comes from time-changed state or observation processes, basic ingredients of the filtering problem. The mathematical feature of the fractional filtering
Daum, Frederick +2 more
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Cauchy problems for fractional differential equations with Riemann–Liouville fractional derivatives
Journal of Functional Analysis, 2012 AbstractIn this paper, we are concerned with Cauchy problems of fractional differential equations with Riemann–Liouville fractional derivatives in infinite-dimensional Banach spaces. We introduce the notion of fractional resolvent, obtain some its properties, and present a generation theorem for exponentially bounded fractional resolvents. Moreover, we
Kexue Li, Jigen Peng, Junxiong Jia
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New variants of fuzzy optimal control problems
Asian Journal of Control, EarlyView.Abstract This study introduces a groundbreaking approach to optimal control problems by incorporating fuzzy conformable derivatives. Our primary goal is to identify the optimal control strategy that maximizes fuzzy performance indices while adhering to fuzzy conformable dynamical systems.
Awais Younus +3 more
wiley +1 more source
Advances in Mathematical PhysicsThis paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao +3 more
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Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]
Kirkuk Journal of Scienceinspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
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Extended Riemann-Liouville type fractional derivative operator with applications
Open Mathematics, 2017 Abstract The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind. Some typical generating relations for these extended hypergeometric functions are obtained by defining the ...
Agarwal, Priyanka +2 more
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, 2016 We present a new way of constructing a fractional-based convolution mask with an application to image edge analysis. The mask was constructed based on the Riemann-Liouville fractional derivative which is a special form of the Srivastava-Owa operator ...
Peter Amoako-Yirenkyi +2 more
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