Hausdorff Calculus : : Applications to Fractal Systems / / Wen Chen, Yingjie Liang, Wei Cai.
This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on f...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Series: | Fractional Calculus in Applied Sciences and Engineering ,
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Physical Description: | 1 online resource (VIII, 138 p.) |
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Liang, Yingjie, author. aut http://id.loc.gov/vocabulary/relators/aut Hausdorff Calculus : Applications to Fractal Systems / Wen Chen, Yingjie Liang, Wei Cai. Berlin ; Boston : De Gruyter, [2019] ©2019 1 online resource (VIII, 138 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Fractional Calculus in Applied Sciences and Engineering , 2509-7210 ; 6 Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Hausdorff diffusion equation -- 3. Statistics on fractals -- 4. Lyapunov stability of Hausdorff derivative non-linear systems -- 5. Hausdorff radial basis function -- 6. Hausdorff PDE modeling -- 7. Local structural derivative -- 8. Perspectives -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics. 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) Cai, Wei, author. aut http://id.loc.gov/vocabulary/relators/aut Chen, Wen, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA EPUB 9783110607055 print 9783110606928 https://doi.org/10.1515/9783110608526 https://www.degruyter.com/isbn/9783110608526 Cover https://www.degruyter.com/document/cover/isbn/9783110608526/original |
language |
English |
format |
eBook |
author |
Liang, Yingjie, Liang, Yingjie, Cai, Wei, Chen, Wen, |
spellingShingle |
Liang, Yingjie, Liang, Yingjie, Cai, Wei, Chen, Wen, Hausdorff Calculus : Applications to Fractal Systems / Fractional Calculus in Applied Sciences and Engineering , Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Hausdorff diffusion equation -- 3. Statistics on fractals -- 4. Lyapunov stability of Hausdorff derivative non-linear systems -- 5. Hausdorff radial basis function -- 6. Hausdorff PDE modeling -- 7. Local structural derivative -- 8. Perspectives -- Bibliography -- Index |
author_facet |
Liang, Yingjie, Liang, Yingjie, Cai, Wei, Chen, Wen, Cai, Wei, Cai, Wei, Chen, Wen, Chen, Wen, |
author_variant |
y l yl y l yl w c wc w c wc |
author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author2 |
Cai, Wei, Cai, Wei, Chen, Wen, Chen, Wen, |
author2_variant |
w c wc w c wc |
author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
author_sort |
Liang, Yingjie, |
title |
Hausdorff Calculus : Applications to Fractal Systems / |
title_sub |
Applications to Fractal Systems / |
title_full |
Hausdorff Calculus : Applications to Fractal Systems / Wen Chen, Yingjie Liang, Wei Cai. |
title_fullStr |
Hausdorff Calculus : Applications to Fractal Systems / Wen Chen, Yingjie Liang, Wei Cai. |
title_full_unstemmed |
Hausdorff Calculus : Applications to Fractal Systems / Wen Chen, Yingjie Liang, Wei Cai. |
title_auth |
Hausdorff Calculus : Applications to Fractal Systems / |
title_alt |
Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Hausdorff diffusion equation -- 3. Statistics on fractals -- 4. Lyapunov stability of Hausdorff derivative non-linear systems -- 5. Hausdorff radial basis function -- 6. Hausdorff PDE modeling -- 7. Local structural derivative -- 8. Perspectives -- Bibliography -- Index |
title_new |
Hausdorff Calculus : |
title_sort |
hausdorff calculus : applications to fractal systems / |
series |
Fractional Calculus in Applied Sciences and Engineering , |
series2 |
Fractional Calculus in Applied Sciences and Engineering , |
publisher |
De Gruyter, |
publishDate |
2019 |
physical |
1 online resource (VIII, 138 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Hausdorff diffusion equation -- 3. Statistics on fractals -- 4. Lyapunov stability of Hausdorff derivative non-linear systems -- 5. Hausdorff radial basis function -- 6. Hausdorff PDE modeling -- 7. Local structural derivative -- 8. Perspectives -- Bibliography -- Index |
isbn |
9783110608526 9783110762464 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 9783110607055 9783110606928 |
issn |
2509-7210 ; |
url |
https://doi.org/10.1515/9783110608526 https://www.degruyter.com/isbn/9783110608526 https://www.degruyter.com/document/cover/isbn/9783110608526/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.83 |
dewey-sort |
3515.83 |
dewey-raw |
515.83 |
dewey-search |
515.83 |
doi_str_mv |
10.1515/9783110608526 |
oclc_num |
1091694813 |
work_keys_str_mv |
AT liangyingjie hausdorffcalculusapplicationstofractalsystems AT caiwei hausdorffcalculusapplicationstofractalsystems AT chenwen hausdorffcalculusapplicationstofractalsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)497443 (OCoLC)1091694813 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 |
is_hierarchy_title |
Hausdorff Calculus : Applications to Fractal Systems / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
author2_original_writing_str_mv |
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