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 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.Book Citation - Scopus: 428Local Fractional Integral Transforms and Their Applications(Elsevier, 2015) Yang, X.J.; Baleanu, D.; Srivastava, H.M.Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. © 2016 Elsevier Ltd. All rights reserved.Book Citation - Scopus: 30Methods of Mathematical Modelling: Infectious Diseases(Elsevier, 2022) Singh, H.; Srivastava, H.M.; Baleanu, D.Methods of Mathematical Modeling: Infectious Diseases presents computational methods related to biological systems and their numerical treatment via mathematical tools and techniques. Edited by renowned experts in the field, Dr. Hari Mohan Srivastava, Dr. Dumitru Baleanu, and Dr. Harendra Singh, the book examines advanced numerical methods to provide global solutions for biological models. These results are important for medical professionals, biomedical engineers, mathematicians, scientists and researchers working on biological models with real-life applications. The authors deal with methods as well as applications, including stability analysis of biological models, bifurcation scenarios, chaotic dynamics, and non-linear differential equations arising in biology. The book focuses primarily on infectious disease modeling and computational modeling of other real-world medical issues, including COVID-19, smoking, cancer and diabetes. The book provides the solution of these models so as to provide actual remedies. © 2022 Elsevier Inc. All rights reserved.