Ditemukan 11 dokumen yang sesuai dengan query
Das, Saptarshi
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The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an interdisciplinary community of researchers. The readers should have preliminary knowledge about basic signal processing techniques. Prerequisite knowledge of fractional calculus is not essential and is exposited at relevant places in connection to the appropriate signal processing topics. Basic signal processing techniques like filtering, estimation, system identification, etc. in the light ...
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Heidelberg : Springer, 2012
e20418148
eBooks Universitas Indonesia Library
Almeida, Ricardo
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The Variable-Order Fractional Calculus of Variations is devoted to the study of fractional operators with variable order and, in particular, variational problems involving variable-order operators. This brief presents a new numerical tool for the solution of differential equations involving Caputo derivatives of fractional variable order. Three Caputo-type fractional operators are considered, and for each one, an approximation formula is obtained in terms of standard (integer-order) derivatives only. Estimations for the error of the approximations are ...
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Switzerland: Springer Cham, 2019
e20501682
eBooks Universitas Indonesia Library
Hu, Sheng
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This book describes complex random signals, characterized by the presence of a heavy-tailed distribution or non-negligible dependence between distant observations. Coverage includes simulation, fractional-order modeling and filtering fractional-order systems ...
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London: Springer, 2012
e20418784
eBooks Universitas Indonesia Library
Annaby, Mahmoud H.
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Introduces a rigorous investigation of q-difference operators in standard and fractional settings. This monograph also discusses some integral equations of Volterra and Abel type, as introductory material for the study of fractional q-calculi ...
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Berlin: [Springer, ], 2012
e20419842
eBooks Universitas Indonesia Library
Abbas, Said
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Topics in fractional differential equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental role in the modeling of a considerable number of phenomena, in particular the modeling of memory-dependent and complex media such as porous ...
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New York: [Springer, ], 2012
e20419643
eBooks Universitas Indonesia Library
Milici, Constantin
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This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors present examples based on symbolic computation, written in Maple and Mathematica, and address both mathematical and computational areas in the context of mathematical modeling and the generalization of classical integer-order methods. Distinct from most books, the present volume fills the gap between mathematics and ...
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Switzerland: Springer Cham, 2019
e20502873
eBooks Universitas Indonesia Library
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This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and ...
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Switzerland: Springer Nature, 2019
e20508919
eBooks Universitas Indonesia Library
Oliveira, Edmundo Capelas de
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This book contains a brief historical introduction and state of the art in fractional calculus. The author introduces some of the so-called special functions, in particular, those which will be directly involved in calculations. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing suggestions for solving them and at last the resolution itself. At the end of those chapters there ...
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Switzerland: Springer Cham, 2019
e20503048
eBooks Universitas Indonesia Library
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This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, ...
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Switzerland: Springer Cham, 2019
e20518419
eBooks Universitas Indonesia Library
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This handbook covers all areas of nonlocal continuum mechanics including theoretical aspects,computational procedures, and experimental advances. The multidisciplinary scope of articles that comprise this reference are written by internationally recognized experts in the field and stand as the most-up-to-date, established knowledge base on using nonlocal continuum mechanics to characterize material behavior for advanced composites and nano-materials, as well as for engineering scale structures. The handbook is at once a comprehensive reference for academic researchers and ...
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Switzerland: Springer Cham, 2019
e20503013
eBooks Universitas Indonesia Library
