Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Conference Object Nonconservative Systems Within Fractional Generalized Derivatives(IFAC Secretariat, 2006) Baleanu, D.; Muslih, S.I.Fractional calculus is a promising tool for investigation of both conservative and non-conservative systems. Fractional Hamiltonian formulation represents an important problem of the fractional quantization. In this paper the nonconservative Lagrangian mechanics is investigated within fractional generalized derivative approach.Article Computing Hankel Determinants Hm(2) of Dixon Elliptic Functions With Modulus α = 0 Using Regular C Fraction(Cambridge Scientific Publishers, 2025) Silambarasan, R.; Belgacem, F.B.M.; Nisar, K.S.; Baleanu, D.In this research paper Dixon elliptic functions (DEF) having modulus, α = 0, smN(x,0): N ≥ 1 smN(x,0)cm(x,0) and smN(x,0)cm(x,0): N ≥ 0 are expanded by Regular C fractions and generalized using the Sumudu transform. Then Hankel determinants Hm(2) of DEF are calculated without resort to Maclaurin's series. For this purpose Heliermann correspondence is applied to Regular C Fraction (RCF) coefficients. Higher order results are given using formal notation and compact form. Some known and previous results are proven and numerical examples given to check the validity in light of this paper's new findings. © (2025), (Cambridge Scientific Publishers). All rights reserved.Article Magnetic Stimulation on Human Blood :electromotive Force Analysis(SYSCOM 18 S.R.L., 2018) Fraga, T.C.; Magdaleno, D.M.; Gómez-Aguilar, J.F.; Murillo, B.O.; Sosa, M.; Baleanu, D.; Cabrera, R.G.In this work a comparative theoretical analysis vs. experimental study on human blood under a magnetic field stimulation is presented. Twenty samples of leukoreduced human blood were stimulated with an alternant magnetic field using a Helmholtz coil system; this magnetic field induced an electromotive force in them. Theoretical calculations were performed for the induced electromotive force in a simple model of blood tissue under magnetic stimulation at frequencies: 50 Hz, 100 Hz, 800 Hz, and 1500 Hz. Experimental measurement was performed at the same frequencies for comparison purposes. Results show a high correlation between theoretical and experimental study, as well as effects of agglutination in the stimulated blood cells. © 2018 SYSCOM 18 S.R.L. All Rights Reserved.Article Electro- Acoustic Device for Hip Dysplasia Assessment(SYSCOM 18 S.R.L., 2016) Oliva, H.P.; Fraga, T.C.; Raygoza, N.P.; Gómez-Aguilar, J.F.; Baleanu, D.; Aquino, M.S.; Cabrera, R.G.; Sosa Aquino, Modesto; Cordova Fraga, Teodoro; Padilla Raygoza, Nicolas; Gomez Aguilar, Jose Francisco; Perez Oliva, Huetzin; Guzman Cabrera, RafaelA device for making diagnosis of dysplasia at the development fracture in newborns, assessment of osteoporosis and injuries of the skeletal system is presented. Its functioning is based on generation of acoustic resonance by sound transmitted through the bone under study. The device operates with a transmitter and an acoustic receiver coupled to the surface, just above the bone area under study. The measurements at the femoral bone in newborns indicate that the dominant frequency is around 160 Hz, which is consistent with other studies. Data comparisons with ultrasound technique suggest that this device could be an alternative for both dysplasia's studies of the hipbone and estimations of bone density.Conference Object Fractional One-Dimensional Transport Equation Within Spectral Method Combined With Modified Adomian Decomposition Method(Amer Soc Mechanical Engineers, 2010) Baleanu, D.; Kadem, A.In this paper the Chebyshev polynomials technique combined with the modified Adomian decomposition method were applied to solve analytically the fractional transport equation in one-dimensional plane geometry. Copyright © 2009 by ASME.Conference Object Fractional Mechanics on the Extended Phase Space(Amer Soc Mechanical Engineers, 2010) Baleanu, D.; Muslih, S.I.; Khalili Golmankhaneh, A.K.; Khalili Golmankhaneh, A.K.; Rabei, E.M.; Golmankhaneh, Alireza K.Fractional calculus has gained a lot of importance and potential applications in several areas of science and engineering. The fractional dynamics and the fractional variational principles started to be used intensively as an alternative tool in order to describe the physical complex phenomena. In this paper we have discussed the fractional extension of the classical dynam ics. The fractional Hamiltonian is constructed and the fractional generalized Poisson 's brackets on the extended phase space is established. Copyright © 2009 by ASME.Conference Object Citation - WoS: 6Citation - Scopus: 7Chemometric Methods for the Simultaneous Spectrophotometnc Determination of Telmisartan and Hydrochlorotiazide in the Commercial Pharmaceuticals(SYSCOM 18 S.R.L., 2009) Beliz, K.; Dinç, E.; Baleanu, D.Simultaneous spectrophotometric determination of telmisartan (TEL) and hydrochlorothiazide (HCT) in two different commercial pharmaceutical preparations were performed by using three different chemometric methods, namely principal component regression (PCR), partial least squares (PLS) and artificial neural network (ANN). The proposed chemometric methods do not require chemical seperation and spectral graphical procedures for the quantitative resolution of mixtures containing the titled compounds. In the preparation of chemometric calibrations, a concentration set of 45 synthetic mixtures containing TEL and HCT in the linear concentration range of 1.0-26.0 and 7.0-7 7.0 pglmL, respectively was simetrically prepared in methanol. The spectra of the above concentration set and samples were recorded in the spectral range of 200-350 nm. Concentration set and its corresponding absorbances in the selected spectral range corresponding to the 250350 nm wavelength range was used to obtain PCR, PLS and ANN calibrations. Recovery study, intra-day, inter-day and standard addition technique were considered as method validation. Three proposed chemometric approaches were sucessfully applied to the quantitative analysis of two different commercial pharmaceutical products.Conference Object Citation - Scopus: 2About the Fn Approximation To Fractional Neutron Transport Equation in Slab Geometry(Amer Soc Mechanical Engineers, 2011) Baleanu, D.; Kadem, A.The neutron transport denotes the study of the motions and interactions of neutrons with materials. In given applications we need to know where neutrons are in an apparatus, what direction they are moving, and how fast they are going. In this manuscript the Legendre polynomial approximation method F N was applied to the one dimensional slab geometry neutron transport equation. © 2011 by ASME.Conference Object Citation - WoS: 10Citation - Scopus: 10About Lagrangian Formulation of Classical Fields Within Riemann-Liouville Fractional Derivatives(American Society of Mechanical Engineers, 2005) Baleanu, D.; Muslih, S.I.Recently, an extension of the simplest fractional problem and the fractional variational problem of Lagrange was obtained by Agrawal. The first part of this study presents the fractional Lagrangian formulation of mechanical systems and introduce the Levy path integral. The second part is an extension to Agrawal's approach to classical fields with fractional derivatives. The classical fields with fractional derivatives are investigated by using the Lagrangian formulation. The case of the fractional Schrödinger equation is presented. Copyright © 2005 by ASME.Article A Note on Non-Instantaneous Impulsive Fractional Neutral Integro-Differential Systems With State-Dependent Delay in Banach Spaces(Eudoxus Press, LLC, 2018) Suganya, S.; Baleanu, D.; Kalamani, P.; Arjunan, M.M.In this research, we establish the existence results for non-instantaneous impulsive fractional neutral integro-differential systems with state-dependent delay in Banach space. By utilizing the Banach contraction principle and condensing fixed point theorem coupled with semigroup theory, we build up the desired results. To acquire the main results, our working concepts are that the functions deciding the equation fulfill certain Lipschitz conditions of local type which is similar to the hypotheses [5]. In the end, an example is given to show the abstract theory. © 2018 by Eudoxus Press, LLC. All rights reserved.
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