Fractional Signals and Systems / / Manuel Duarte Ortigueira, Duarte Valério.
The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of st...
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| Superior document: | Title is part of eBook package: De Gruyter DG Ebook Package English 2020 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2020] ©2020 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | Fractional Calculus in Applied Sciences and Engineering ,
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| Physical Description: | 1 online resource (XVII, 281 p.) |
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Ortigueira, Manuel Duarte, author. aut http://id.loc.gov/vocabulary/relators/aut Fractional Signals and Systems / Manuel Duarte Ortigueira, Duarte Valério. Berlin ; Boston : De Gruyter, [2020] ©2020 1 online resource (XVII, 281 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Fractional Calculus in Applied Sciences and Engineering , 2509-7210 ; 7 Frontmatter -- Acknowledgement -- Preface -- Contents -- Fractional Calculus in Applied Sciences and Engineering -- Part I: Continuous-time -- 1 Introduction to signals and systems -- 2 Continuous-time linear systems and the Laplace transform -- 3 Fractional commensurate linear systems: time responses -- 4 The fractional commensurate linear systems. Frequency responses -- 5 State-space representation -- 6 Feedback representation -- 7 On fractional derivatives -- Part II: Discrete-time -- 8 Discrete-time linear systems. Difference equations -- 9 Z transform. Transient responses -- 10 Discrete-time derivatives and transforms -- Part III: Advanced topics -- 11 Fractional stochastic processes and two-sided derivatives -- 12 Fractional delay discrete-time linear systems -- 13 Fractional derivatives with variable orders -- Appendices -- A On distributions -- B The Gamma function and binomial coefficients -- C The continuous-Time Fourier Transform -- D The discrete-time Fourier Transform -- E Partial fraction decomposition without derivations -- F The Mittag-Leffler function -- Bibliography -- Further Reading -- Index -- Erratum to: 7 On fractional derivatives restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The book illustrates the theoretical results of fractional derivatives via applications in signals and systems, covering continuous and discrete derivatives, and the corresponding linear systems. Both time and frequency analysis are presented. Some advanced topics are included like derivatives of stochastic processes. It is an essential reference for researchers in mathematics, physics, and engineering. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Ortigueira, Manuel D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Valério, Duarte, author. aut http://id.loc.gov/vocabulary/relators/aut Valério, Duarte, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271 Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC 9783110659061 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English 9783110704716 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 9783110704518 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English 9783110704846 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 9783110704662 ZDB-23-DMA EPUB 9783110621327 print 9783110621297 https://doi.org/10.1515/9783110624588 https://www.degruyter.com/isbn/9783110624588 Cover https://www.degruyter.com/document/cover/isbn/9783110624588/original |
| language |
English |
| format |
eBook |
| author |
Ortigueira, Manuel Duarte, Ortigueira, Manuel Duarte, Valério, Duarte, |
| spellingShingle |
Ortigueira, Manuel Duarte, Ortigueira, Manuel Duarte, Valério, Duarte, Fractional Signals and Systems / Fractional Calculus in Applied Sciences and Engineering , Frontmatter -- Acknowledgement -- Preface -- Contents -- Fractional Calculus in Applied Sciences and Engineering -- Part I: Continuous-time -- 1 Introduction to signals and systems -- 2 Continuous-time linear systems and the Laplace transform -- 3 Fractional commensurate linear systems: time responses -- 4 The fractional commensurate linear systems. Frequency responses -- 5 State-space representation -- 6 Feedback representation -- 7 On fractional derivatives -- Part II: Discrete-time -- 8 Discrete-time linear systems. Difference equations -- 9 Z transform. Transient responses -- 10 Discrete-time derivatives and transforms -- Part III: Advanced topics -- 11 Fractional stochastic processes and two-sided derivatives -- 12 Fractional delay discrete-time linear systems -- 13 Fractional derivatives with variable orders -- Appendices -- A On distributions -- B The Gamma function and binomial coefficients -- C The continuous-Time Fourier Transform -- D The discrete-time Fourier Transform -- E Partial fraction decomposition without derivations -- F The Mittag-Leffler function -- Bibliography -- Further Reading -- Index -- Erratum to: 7 On fractional derivatives |
| author_facet |
Ortigueira, Manuel Duarte, Ortigueira, Manuel Duarte, Valério, Duarte, Ortigueira, Manuel D., Ortigueira, Manuel D., Valério, Duarte, Valério, Duarte, Valério, Duarte, Valério, Duarte, |
| author_variant |
m d o md mdo m d o md mdo d v dv |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Ortigueira, Manuel D., Ortigueira, Manuel D., Valério, Duarte, Valério, Duarte, Valério, Duarte, Valério, Duarte, |
| author2_variant |
m d o md mdo m d o md mdo d v dv d v dv d v dv |
| author2_role |
MitwirkendeR MitwirkendeR VerfasserIn VerfasserIn MitwirkendeR MitwirkendeR |
| author_sort |
Ortigueira, Manuel Duarte, |
| title |
Fractional Signals and Systems / |
| title_full |
Fractional Signals and Systems / Manuel Duarte Ortigueira, Duarte Valério. |
| title_fullStr |
Fractional Signals and Systems / Manuel Duarte Ortigueira, Duarte Valério. |
| title_full_unstemmed |
Fractional Signals and Systems / Manuel Duarte Ortigueira, Duarte Valério. |
| title_auth |
Fractional Signals and Systems / |
| title_alt |
Frontmatter -- Acknowledgement -- Preface -- Contents -- Fractional Calculus in Applied Sciences and Engineering -- Part I: Continuous-time -- 1 Introduction to signals and systems -- 2 Continuous-time linear systems and the Laplace transform -- 3 Fractional commensurate linear systems: time responses -- 4 The fractional commensurate linear systems. Frequency responses -- 5 State-space representation -- 6 Feedback representation -- 7 On fractional derivatives -- Part II: Discrete-time -- 8 Discrete-time linear systems. Difference equations -- 9 Z transform. Transient responses -- 10 Discrete-time derivatives and transforms -- Part III: Advanced topics -- 11 Fractional stochastic processes and two-sided derivatives -- 12 Fractional delay discrete-time linear systems -- 13 Fractional derivatives with variable orders -- Appendices -- A On distributions -- B The Gamma function and binomial coefficients -- C The continuous-Time Fourier Transform -- D The discrete-time Fourier Transform -- E Partial fraction decomposition without derivations -- F The Mittag-Leffler function -- Bibliography -- Further Reading -- Index -- Erratum to: 7 On fractional derivatives |
| title_new |
Fractional Signals and Systems / |
| title_sort |
fractional signals and systems / |
| series |
Fractional Calculus in Applied Sciences and Engineering , |
| series2 |
Fractional Calculus in Applied Sciences and Engineering , |
| publisher |
De Gruyter, |
| publishDate |
2020 |
| physical |
1 online resource (XVII, 281 p.) Issued also in print. |
| contents |
Frontmatter -- Acknowledgement -- Preface -- Contents -- Fractional Calculus in Applied Sciences and Engineering -- Part I: Continuous-time -- 1 Introduction to signals and systems -- 2 Continuous-time linear systems and the Laplace transform -- 3 Fractional commensurate linear systems: time responses -- 4 The fractional commensurate linear systems. Frequency responses -- 5 State-space representation -- 6 Feedback representation -- 7 On fractional derivatives -- Part II: Discrete-time -- 8 Discrete-time linear systems. Difference equations -- 9 Z transform. Transient responses -- 10 Discrete-time derivatives and transforms -- Part III: Advanced topics -- 11 Fractional stochastic processes and two-sided derivatives -- 12 Fractional delay discrete-time linear systems -- 13 Fractional derivatives with variable orders -- Appendices -- A On distributions -- B The Gamma function and binomial coefficients -- C The continuous-Time Fourier Transform -- D The discrete-time Fourier Transform -- E Partial fraction decomposition without derivations -- F The Mittag-Leffler function -- Bibliography -- Further Reading -- Index -- Erratum to: 7 On fractional derivatives |
| isbn |
9783110624588 9783110696288 9783110696271 9783110659061 9783110704716 9783110704518 9783110704846 9783110704662 9783110621327 9783110621297 |
| issn |
2509-7210 ; |
| url |
https://doi.org/10.1515/9783110624588 https://www.degruyter.com/isbn/9783110624588 https://www.degruyter.com/document/cover/isbn/9783110624588/original |
| illustrated |
Not Illustrated |
| doi_str_mv |
10.1515/9783110624588 |
| oclc_num |
1149491321 |
| work_keys_str_mv |
AT ortigueiramanuelduarte fractionalsignalsandsystems AT ortigueiramanueld fractionalsignalsandsystems AT valerioduarte fractionalsignalsandsystems |
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n |
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(DE-B1597)500684 (OCoLC)1149491321 |
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cr |
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Title is part of eBook package: De Gruyter DG Ebook Package English 2020 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2020 |
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Fractional Signals and Systems / |
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