Results 31 to 40 of about 26,220 (280)
Approximating fractional derivatives in the perspective of system control [PDF]
, 2009 The theory of fractional calculus goes back to the beginning of the theory of differential calculus, but its application received attention only recently.
Galhano, Alexandra +1 more
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Fractional discrete model of an electrical drive with brushless micro-motor [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2020 The use of fractional-order calculus for system modeling is a good alternative to well-known classic integer-order methods, primarily due to the precision with which the modeled object may be mapped.
M. Matusiak +3 more
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, 2014 This paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions.
Duarte, Fernando +4 more
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Journal of Function Spaces, 2021 This content replicates some discrete nonlinear fractional inequalities by virtue of the fractional sum operator Ψ¯ on time scales. Through the recognition of the principle of discrete fractional calculus, we are able to recover the precise estimates for
Zareen A. Khan, Kamal Shah
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, 2014 We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the discrete formulation of Einstein's theory of general relativity known as ...
David Gu +6 more
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Bayesian Estimation in Delta and Nabla Discrete Fractional Weibull Distributions
Journal of Probability and Statistics, 2016 We use discrete fractional calculus for showing the existence of delta and nabla discrete distributions and then apply time scales for definitions of delta and nabla discrete fractional Weibull distributions. Also, we study the Bayesian estimation of the
M. Ganji, F. Gharari
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Entropy, 2016 In this work; we present a method for solving the second-order linear ordinary differential equation of hypergeometric type. The solutions of this equation are given by the confluent hypergeometric functions (CHFs).
Resat Yilmazer +3 more
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Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain [PDF]
, 2015 The aim of this paper is to deduce a discrete version of the fractional Laplacian in matrix form defined on the 1D periodic (cyclically closed) linear chain of finite length.
A.F. Nowakowski +34 more
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Numerical Computation of Exponential Functions of Nabla Fractional Calculus
, 2022 In this article, we illustrate the asymptotic behaviour of exponential functions of nabla fractional calculus.
Jonnalagadda, Jagan Mohan
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Fractional Sums and Differences with Binomial Coefficients
Discrete Dynamics in Nature and Society, 2013 In fractional calculus, there are two approaches to obtain fractional derivatives. The first approach is by iterating the integral and then defining a fractional order by using Cauchy formula to obtain Riemann fractional integrals and derivatives.
Thabet Abdeljawad +3 more
doaj +1 more source