Fractional order generalized information
WebApr 11, 2024 · Multilayered piezoelectric structures have special applications for vibration control, and they often serve in a thermoelastic coupling environment. In this work, the … WebAug 1, 2024 · The fractional order generalized hyperchaotic Henon map exhibits bifurcation for various values of fractional order α. With a step variation of 0.005 in the value of parameter a , the bifurcation diagram is depicted in Fig. 3 , …
Fractional order generalized information
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WebMay 12, 2024 · The transform order was also used as the encryption key in addition to the random phase matrix, which improved the security of the system. The FRFT was a generalized Fourier transform (FT) and had more flexibility and research value. In 1995, Shih first proposed the WFRFT, a new version of the FRFT [ 3 ]. WebHere, a new set of fractional-order moments, named fractional-order generalized Laguerre moments (FGLM), is introduced. These proposed moments are defined on the Cartesian coordinate system and their basis functions are represented by the fractional-order generalized Laguerre polynomials. Contrary to the classical Chebyshev, …
WebThe characteristics of the generalized fractional entropy are tested both in standard probability distributions and real world data series. The results reveal that tuning the … WebJan 1, 2024 · In this paper, the cumulative residual distribution entropy model is extended to the fractional order. The generalized fractional cumulative residual distribution entropy (GCRDE) can better capture the tiny evolution of time series, which is more advantageous for studying the dynamic characteristics of complex systems. The new model makes up ...
WebApr 15, 2013 · There is an increasing interest in using fractional calculus applied to control theory generalizing classical control strategies as the PID controller and developing new ones with the intention of taking advantage of characteristics supplied by this mathematical tool for the controller definition. In this work, the fractional generalization of the … WebApr 6, 2024 · In this article, we present a modified strategy that combines the residual power series method with the Laplace transformation and a novel iterative technique for generating a series solution to the fractional nonlinear Belousov–Zhabotinsky (BZ) system. The proposed techniques use the Laurent series in their development. The new …
WebNov 30, 2024 · In the current study, we propose a systematize technique for solving fractional delay differential equations in the Caputo sense. Therefore, we compute an exact Riemann–Liouville fractional integral operator for the generalized fractional-order hybrid of block-pulse functions and Bernoulli polynomials, and we use it in order to reduce the …
WebNov 4, 2024 · This work is related to the fractional order generalized Korteweg-de Vries (gKdV) equation ; for this, the fractional form of the gKdV equation is taken as. Equation is a fractional form of the classical generalized Korteweg-de Vries equation which exists by changing the 1st-order time derivatives by fractional derivatives. In the past two ... new urban high school calendarWebIn this paper, we propose a high order approximation for generalized Caputo fractional derivative of order $\alpha\in(0,1)$ . The approximation order is shown t ... We then … new urban arts jobsWebThe generalized concepts motivate further developments and new research avenues emerge. Bearing these ideas in mind, the present study combines both concepts and is organized as follows. Section 2 introduces entropy and fractional calculus in order to formulate the new generalized fractional entropy. new urban high school milwaukie oregonWebDefine fragmentary order. fragmentary order synonyms, fragmentary order pronunciation, fragmentary order translation, English dictionary definition of fragmentary order. An … new urban high school oregonWebDefinition 1. The generalized multiplier with memory is the dependence of an endogenous variable Y (t) at the timeon the history of the change of the exogenous variable X (τ) on a finite time intervalsuch that. τ. (1) where denotes an operator that specifies the value of Y (t) for any time , if X (τ) is known for . migraine medication chest painWebOct 29, 2014 · A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with fractional orders. The theory is then adopted to study thermoelastic interaction in an isotropic homogenous semi-infinite generalized thermoelastic solids with variable thermal … new urbanism best practices guideWebMar 19, 2010 · J. Heat Transfer. Jun 2010, 132 (6): 061301 (7 pages) In this work, a new model of thermoelasticity theory has been constructed in the context of a new … migraine medication dissolves under tongue