Ditemukan 9 dokumen yang sesuai dengan query
M. Shiqo Filla
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Kalkulus fraksional adalah topik yang secara khusus membahas tentang integral dan turunan fraksional, yakni integral dan turunan berorde bilangan real positif. Kalkulus fraksional telah diterapkan dalam berbagai bidang pemodelan, salah satunya pada model sistem dinamik yang bersifat chaos. Chaos merupakan kondisi saat solusi dari suatu sistem deterministik terus bergerak secara aperiodik, namun terbatas dan bersifat sensitif terhadap perubahan nilai awal. Sistem chaos umumnya dikenal dibangun oleh sistem persamaan diferensial berorde integer, namun berbagai penelitian telah ...
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Depok: Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia, 2024
S-pdf
UI - Skripsi Membership Universitas Indonesia Library
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
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
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Fractional dynamics and control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional calculus to solving complicated mathematical and physical problems.Finally, this book also discusses the role that fractional order modeling can play in complex systems for ...
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New York: Springer, 2012
e20421072
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
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
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
Brychkov, Yury A.
Boca Raton: CRC Press , 2008
R 515.5 BRY h
Buku Referensi Universitas Indonesia Library
