Fractional Calculus: Theory and Applications
Fractional calculus (FC) has emerged as a beneficial tool for the study of dynamical systems. This is due to the fact that fractional-order (FO) operators capture the memory of all past events, leading to better descriptions of real-world phenomena than their integer-order counterparts. From this pe...
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| Natura: | Online |
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| Lingua: | inglese |
| Pubblicazione: |
MDPI - Multidisciplinary Digital Publishing Institute
2024
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| Soggetti: | |
| Accesso online: | ONIX_20240704_9783725811458_188 |
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| _version_ | 1869516402222694400 |
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| collection | Directory of Open Access Books |
| description | Fractional calculus (FC) has emerged as a beneficial tool for the study of dynamical systems. This is due to the fact that fractional-order (FO) operators capture the memory of all past events, leading to better descriptions of real-world phenomena than their integer-order counterparts. From this perspective, the systems modelling and control of FO with applications of real-world problems is of key significance. Despite the extraordinary advances in FC, new theoretical developments and applications are still needed to accurately describe or control many systems and signals characterized by chaos, bifurcations, criticality, symmetry, memory, scale invariance, fractality, fractionality, and other rich features. |
| format | Online |
| id | doab-20.500.12854ir-139392 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1393922024-07-04T09:49:44Z Fractional Calculus: Theory and Applications Lopes, António Alfi, Alireza Chen, Liping David, Sergio fractional differential and integral equations fractional dynamics and control fractional calculus of variations symmetry applications of fractional calculus to real-world problems thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Fractional calculus (FC) has emerged as a beneficial tool for the study of dynamical systems. This is due to the fact that fractional-order (FO) operators capture the memory of all past events, leading to better descriptions of real-world phenomena than their integer-order counterparts. From this perspective, the systems modelling and control of FO with applications of real-world problems is of key significance. Despite the extraordinary advances in FC, new theoretical developments and applications are still needed to accurately describe or control many systems and signals characterized by chaos, bifurcations, criticality, symmetry, memory, scale invariance, fractality, fractionality, and other rich features. 2024-07-04T09:49:41Z 2024-07-04T09:49:41Z 2024 book ONIX_20240704_9783725811458_188 9783725811458 9783725811465 https://directory.doabooks.org/handle/20.500.12854/139392 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/topic/9392 https://mdpi.com/books/pdfview/topic/9392 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1146-5 10.3390/books978-3-7258-1146-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725811458 9783725811465 364 open access |
| spellingShingle | fractional differential and integral equations fractional dynamics and control fractional calculus of variations symmetry applications of fractional calculus to real-world problems thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Fractional Calculus: Theory and Applications |
| title | Fractional Calculus: Theory and Applications |
| title_full | Fractional Calculus: Theory and Applications |
| title_fullStr | Fractional Calculus: Theory and Applications |
| title_full_unstemmed | Fractional Calculus: Theory and Applications |
| title_short | Fractional Calculus: Theory and Applications |
| title_sort | fractional calculus theory and applications |
| topic | fractional differential and integral equations fractional dynamics and control fractional calculus of variations symmetry applications of fractional calculus to real-world problems thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| topic_facet | fractional differential and integral equations fractional dynamics and control fractional calculus of variations symmetry applications of fractional calculus to real-world problems thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics |
| url | ONIX_20240704_9783725811458_188 |