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020 _a9783031024238
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024 7 _a10.1007/978-3-031-02423-8
_2doi
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072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
072 7 _aPB
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082 0 4 _a510
_223
100 1 _aChakraverty, Snehashish.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981257
245 1 0 _aTime-Fractional Order Biological Systems with Uncertain Parameters
_h[electronic resource] /
_cby Snehashish Chakraverty, Rajarama Mohan Jena, Subrat Kumar Jena.
250 _a1st ed. 2020.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2020.
300 _aXV, 144 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _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-lifeapplications 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.
650 0 _aMathematics.
_911584
650 0 _aStatistics .
_931616
650 0 _aEngineering mathematics.
_93254
650 1 4 _aMathematics.
_911584
650 2 4 _aStatistics.
_914134
650 2 4 _aEngineering Mathematics.
_93254
700 1 _aJena, Rajarama Mohan.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981258
700 1 _aJena, Subrat Kumar.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981259
710 2 _aSpringerLink (Online service)
_981260
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031002694
776 0 8 _iPrinted edition:
_z9783031012952
776 0 8 _iPrinted edition:
_z9783031035517
830 0 _aSynthesis Lectures on Mathematics & Statistics,
_x1938-1751
_981261
856 4 0 _uhttps://doi.org/10.1007/978-3-031-02423-8
912 _aZDB-2-SXSC
942 _cEBK
999 _c85141
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