Results 71 to 80 of about 20,134 (284)
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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Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative [PDF]
Applied Numerical Mathematics, 2019 32 pages, 2 ...
Daxin Nie, Jing Sun, Weihua Deng
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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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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
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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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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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, 2014 In this paper, the initial-boundary-value problems for the one-dimensional linear and non-linear fractional diffusion equations with the Riemann-Liouville time-fractional derivative are analyzed.
M. Al-Refai, Yuri Luchko
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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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