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007			cr nn 008mamaa
008			220601s2020 sz | s |||| 0|eng d
020			_a9783031024238
024	7		_a10.1007/978-3-031-02423-8 _2doi
040			_aES-MaUEC _bspa _cES-MaUEC _dES-MaUEC
050		4	_aQH324.2 _b2020 EB
100	1		_aChakraverty, Snehashish _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687524
245	1	0	_aTime-Fractional Order Biological Systems with Uncertain Parameters _cby Snehashish Chakraverty, Rajarama Mohan Jena, Subrat Kumar Jena
250			_a1st edition 2020
264		1	_aCham _bSpringer International Publishing _c2020
300			_a1 recurso en línea (XV, 144 páginas)
336			_atexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_aarchivo de texto _bPDF
490	0		_aSynthesis Lectures on Mathematics & Statistics _x1938-1751
505	0		_aPreface -- Acknowledgments -- Preliminaries to Fractional Calculus -- Preliminaries of Fuzzy Set Theory -- Fuzzy Fractional Differential Equations and Method of Solution -- Imprecisely Defined Time-Fractional Model of Cancer Chemotherapy Effect -- Fuzzy Time-Fractional Smoking Epidemic Model -- Time-Fractional Model of HIV-I Infection of CD4+ T Lymphocyte Cells in Uncertain Environment -- Time-Fractional Model of Hepatitis E Virus with Uncertain Parameters -- Fuzzy Time-Fractional SIRS-SI Malaria Disease Model -- Authors' Biographies.
520			_aThe subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering. It is a generalization of ordinary differentiation and integration to arbitrary (non-integer) order. The fractional derivative has been used in various physical problems, such as frequency-dependent damping behavior of structures, biological systems, motion of a plate in a Newtonian fluid, ��������λ����μ controller for the control of dynamical systems, and so on. It is challenging to obtain the solution (both analytical and numerical) of related nonlinear partial differential equations of fractional order. So for the last few decades, a great deal of attention has been directed towards the solution for these kind of problems. Different methods have been developed by other researchers to analyze the above problems with respect to crisp (exact) parameters. However, in real-life applications such as for biological problems, it is not always possible to get exact values of the associated parameters due to errors in measurements/experiments, observations, and many other errors. Therefore, the associated parameters and variables may be considered uncertain. Here, the uncertainties are considered interval/fuzzy. Therefore, the development of appropriate efficient methods and their use in solving the mentioned uncertain problems are the recent challenge. In view of the above, this book is a new attempt to rigorously present a variety of fuzzy (and interval) time-fractional dynamical models with respect to different biological systems using computationally efficient method. The authors believe this book will be helpful to undergraduates, graduates, researchers, industry, faculties, and others throughout the globe.
988			_aSynthesis Collection of Technology_2020
650		7	_2embne _9139227 _aEcuaciones diferenciales
650		7	_2embne _9403517 _aSistemas biológicos _xModelos matemáticos
650		7	_2embne _9162291 _aCálculo fraccionario
700	1		_aJena, Rajarama Mohan _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687525
700	1		_aJena, Subrat Kumar _eautor _4aut _4http://id.loc.gov/vocabulary/relators/aut _9687526
776	0	8	_iPrinted edition: _z9783031002694
776	0	8	_iPrinted edition: _z9783031012952
776	0	8	_iPrinted edition: _z9783031035517
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-02423-8 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
998			_b03/2023 _dz _esc _zSI