http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
theory and applications of differentiation and integration to arbitrary order
1 online resource (xiii, 234 pages) : illustrations
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank.
Introduction -- Differentiation and integration to the integer order -- Fractional derivatives and integrals : definitions and equivalences -- Differentigration of simple functions -- General properties -- Differintegration of more complex functions -- Semiderivatives and semiintegral -- Techniques in the fractional calculus -- Representation of transcendental functions -- Applications in the classical calculus -- Applications to diffusion problems.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL
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Includes bibliographical references (pages 219-223) and index.
Mathematics in science and engineering ; v. 111
1093202:10877921 Elsevier Science & Technology