Numerical Solution and Applications of Fractional Differential Equations
In 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 mod...
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| Format: | Online |
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| Language: | English |
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MDPI - Multidisciplinary Digital Publishing Institute
2023
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| Online Access: | ONIX_20231130_9783036592985_160 |
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| description | In 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-128708 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1287082024-03-28T03:32:25Z Numerical Solution and Applications of Fractional Differential Equations 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 In 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. 2023-11-30T20:45:26Z 2023-11-30T20:45:26Z 2023 book ONIX_20231130_9783036592985_160 9783036592985 9783036592992 https://directory.doabooks.org/handle/20.500.12854/128708 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/8172 https://mdpi.com/books/pdfview/book/8172 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-9299-2 10.3390/books978-3-0365-9299-2 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036592985 9783036592992 546 Basel 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 |
| title | Numerical Solution and Applications of Fractional Differential Equations |
| title_full | Numerical Solution and Applications of Fractional Differential Equations |
| title_fullStr | Numerical Solution and Applications of Fractional Differential Equations |
| title_full_unstemmed | Numerical Solution and Applications of Fractional Differential Equations |
| title_short | Numerical Solution and Applications of Fractional Differential Equations |
| title_sort | numerical solution and applications of fractional differential equations |
| 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_20231130_9783036592985_160 |