TY - BOOK ID - 214038 TI - Advances in fractional calculus : theoretical developments and applications in physics and engineering AU - Sabatier, J. AU - Agrawal, Om Prakash AU - Machado, J. A. Tenreiro. PY - 2007 SN - 1280960116 9786610960118 1402060424 1402060416 9048175135 PB - Dordrecht : Springer, DB - UniCat KW - Fractional calculus. KW - Calculus. KW - Analysis (Mathematics) KW - Fluxions (Mathematics) KW - Infinitesimal calculus KW - Limits (Mathematics) KW - Mathematical analysis KW - Functions KW - Geometry, Infinitesimal KW - Derivatives and integrals, Fractional KW - Differentiation of arbitrary order, Integration and KW - Differintegration, Generalized KW - Fractional derivatives and integrals KW - Generalized calculus KW - Generalized differintegration KW - Integrals, Fractional derivatives and KW - Integration and differentiation of arbitrary order KW - Calculus KW - Engineering mathematics. KW - Computer simulation. KW - System theory. KW - Mechanical engineering. KW - Computer engineering. KW - Mathematical and Computational Engineering. KW - Simulation and Modeling. KW - Systems Theory, Control. KW - Theoretical, Mathematical and Computational Physics. KW - Mechanical Engineering. KW - Electrical Engineering. KW - Systems, Theory of KW - Systems science KW - Science KW - Computers KW - Engineering, Mechanical KW - Engineering KW - Machinery KW - Steam engineering KW - Computer modeling KW - Computer models KW - Modeling, Computer KW - Models, Computer KW - Simulation, Computer KW - Electromechanical analogies KW - Mathematical models KW - Simulation methods KW - Model-integrated computing KW - Engineering analysis KW - Philosophy KW - Design and construction KW - Mathematics KW - Systems theory. KW - Applied mathematics. KW - Mathematical physics. KW - Electrical engineering. KW - Electric engineering KW - Physical mathematics KW - Physics UR - https://www.unicat.be/uniCat?func=search&query=sysid:214038 AB - In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians. ER -