Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition
Over the last few decades, the application of fractional calculus to real-world problems has grown rapidly, with dynamical systems described by fractional differential equations (FDEs) representing one of the ways by which to understand complex materials and processes. Due to the power required to m...
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| Aineistotyyppi: | Online |
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| Kieli: | englanti |
| Julkaistu: |
MDPI - Multidisciplinary Digital Publishing Institute
2025
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| Aiheet: | |
| Linkit: | ONIX_20250812T110751_9783725841110_333 |
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| _version_ | 1869524135876493312 |
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| collection | Directory of Open Access Books |
| description | Over the last few decades, the application of fractional calculus to real-world problems has grown rapidly, with dynamical systems described by fractional differential equations (FDEs) representing one of the ways by which to understand complex materials and processes. Due to the power required to model the non-locality, memory, spatial heterogeneity and anomalous diffusion inherent in many real-world problems, FDEs have attracted significant attention in many fields of science and are still under development. However, generally, fractional mathematical models from science and engineering are so complex that analytical solutions are not available. Therefore, the numerical solution is an effective tool in fractional mathematical models. This Special Issue presents the latest developments in fractional differential equations, reports the state-of-the-art numerical methods, and discusses the future trends and challenges. |
| format | Online |
| id | doab-20.500.12854ir-165578 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2025 |
| publishDateRange | 2025 |
| publishDateSort | 2025 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1655782025-08-12T09:56:51Z Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition Feng, Libo Liu, Yang Liu, Lin Fractional calculus Numerical methods Numerical analysis Fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Over the last few decades, the application of fractional calculus to real-world problems has grown rapidly, with dynamical systems described by fractional differential equations (FDEs) representing one of the ways by which to understand complex materials and processes. Due to the power required to model the non-locality, memory, spatial heterogeneity and anomalous diffusion inherent in many real-world problems, FDEs have attracted significant attention in many fields of science and are still under development. However, generally, fractional mathematical models from science and engineering are so complex that analytical solutions are not available. Therefore, the numerical solution is an effective tool in fractional mathematical models. This Special Issue presents the latest developments in fractional differential equations, reports the state-of-the-art numerical methods, and discusses the future trends and challenges. 2025-08-12T09:56:49Z 2025-08-12T09:56:49Z 2025 book ONIX_20250812T110751_9783725841110_333 9783725841110 9783725841127 https://directory.doabooks.org/handle/20.500.12854/165578 eng image/jpeg Attribution 4.0 International https://mdpi.com/books https://mdpi.com/books/pdfview/book/10971 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-4112-7 10.3390/books978-3-7258-4112-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725841110 9783725841127 246 open access |
| spellingShingle | Fractional calculus Numerical methods Numerical analysis Fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title | Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title_full | Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title_fullStr | Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title_full_unstemmed | Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title_short | Numerical Solution and Applications of Fractional Differential Equations, 2nd Edition |
| title_sort | numerical solution and applications of fractional differential equations 2nd edition |
| topic | Fractional calculus Numerical methods Numerical analysis Fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Fractional calculus Numerical methods Numerical analysis Fractional differential equations thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20250812T110751_9783725841110_333 |