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http://thuvienso.vanlanguni.edu.vn/handle/Vanlang_TV/33614
Nhan đề: | Fractional Integrals and Derivatives: “True” versus “False” |
Tác giả: | Yuri Luchko |
Từ khoá: | derivatives integrals fractional differential equations mathematical properties of fractional operators |
Năm xuất bản: | 2021 |
Nhà xuất bản: | MDPI Books |
Tóm tắt: | This Special Issue is devoted to some serious problems regarding the current development of Fractional Calculus . One of the explanations for this phenomenon is in active attempts to introduce a new kind of mathematical models containing fractional order operators into physics, chemistry, engineering, biology, medicine, and other sciences. This speeds up the development of the mathematical theory of FC, including fractional ordinary and partial differential equations, fractional calculus of variations, inverse problems for fractional differential equations, fractional stochastic models, etc. Unfortunately, some of these new models and results are just formal "fractionalisations" of the known conventional theories, often without any justification and motivation. Additionally, a recent trend in FC is in introducing "new fractional derivatives and integrals" and considering classical equations and models with these fractional order operators instead of conventional integrals and derivatives. |
Mô tả: | xi, 266 p. : illustrations (some color); 11.8 mb https://doi.org/10.3390/books978-3-0365-0494-0 |
Định danh: | http://thuvienso.vanlanguni.edu.vn/handle/Vanlang_TV/33614 |
ISBN: | 978-3-0365-0494-0 |
Bộ sưu tập: | Khoa học cơ bản_TLNM_SACH |
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