Results 21 to 30 of about 168,673,297 (115)

Random fractional Fourier transform : stochastic perturbations along the axis of propagation [PDF]

, 1999
The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium
Abe, Sumiyoshi, Sheridan, John T.
core   +1 more source

ДРОБНОЕ ИСЧИСЛЕНИЕ И АППРОКСИМАЦИОННЫЕ МЕТОДЫ В МОДЕЛИРОВАНИИ ДИНАМИЧЕСКИХ СИСТЕМ [PDF]

, 2008
Книга посвящена аппроксимационно-операционным методам моделирования динамических систем дробного и смешанного порядков. Рассмотрены методы аппроксимации сигналов обобщенными полиномами с различными системами базисных функций, построение на основе этих ...
Симак, Лилия Алексеевна, Васильев, Всеволод Викторович   +1 more
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Fractional derivative and Midpoint rules [PDF]

, 2022
The fractional derivative has a long history in mathematics dating back further than integer-order derivative, but it did not gain traction until recently.
Ayash, Jayden
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Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]

, 2013
In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S, Spurgeon, Sarah K., Kamal, S., KAMAL, S, BANDYOPADHYAY, B, Bandyopadhyay, B., Spurgeon, S., Bandyopadhyay, Bijan, Kamal, Shyam   +8 more
core   +1 more source

Existence and uniqueness solution analysis of time-fractional unstable nonlinear Schrödinger equation

Results in Physics
The time-fractional unstable nonlinear Schrödinger (NLS) equations capture the time evolution of disturbances within media, tailored for describing phenomena in unstable media to help model and understand the intricate dynamics of systems prone to ...
M. Ayesha Khatun, Mohammad Asif Arefin, M. Ali Akbar, M. Hafiz Uddin   +3 more
doaj   +1 more source

A Foundational Analysis of Local Kernel-Based Calculus

Axioms
We introduce the local kernel-based calculus, a unifying framework for local differential and integral operators based on an arbitrary positive continuous kernel function.
Pierros Ntelis
doaj   +1 more source

Control strategy for anaesthetic drug dosage with interaction among human physiological organs using optimal fractional order PID controller

, 2014
In this paper, an efficient control strategy for physiological interaction based anaesthetic drug infusion model is explored using the fractional order (FO) proportional integral derivative (PID) controllers.
Koushik Maharatna, Das, Saptarshi, Sourav Das, Saptarshi Das, Das, Sourav, Maharatna, Koushik   +5 more
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Fractional dynamical model for the generation of ECG like signals from filtered coupled Van-der Pol oscillators

, 2013
In this paper, an incommensurate fractional order (FO) model has been proposed to generate ECG like waveforms. Earlier investigation of ECG like waveform generation is based on two identical Van-der Pol (VdP) family of oscillators, which are coupled by ...
Das, Saptarshi, Maharatna, Koushik
core   +1 more source

Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative

, 2023
In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Amanullah Soomro, Laila Almutairi, Afroz Afroz, Evren Hincal, Asifa Tassaddiq, Ausif Padder, Sania Qureshi   +6 more
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Continuity Result on the Order of a Nonlinear Fractional Pseudo-Parabolic Equation with Caputo Derivative

, 2021
In this paper, we consider a problem of continuity fractional-order for pseudo-parabolic equations with the fractional derivative of Caputo. Here, we investigate the stability of the problem with respect to derivative parameters and initial data. We also
Ho Thi Kim Van, Dumitru Baleanu, Ho Duy Binh, Luc Nguyen Hoang   +3 more
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