Fractional Calculus - Theory and Applications
In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover, rigorous analysis of the functional propertie...
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| Format: | Online |
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| Idioma: | anglès |
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MDPI - Multidisciplinary Digital Publishing Institute
2022
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| Accés en línia: | ONIX_20220706_9783036532622_8 |
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| _version_ | 1869520833934786560 |
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| collection | Directory of Open Access Books |
| description | In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover, rigorous analysis of the functional properties of these new definitions has been an active area of research in mathematical analysis. Systems considering differential equations with fractional-order operators have been investigated thoroughly from analytical and numerical points of view, and potential applications have been proposed for use in sciences and in technology. The purpose of this Special Issue is to serve as a specialized forum for the dissemination of recent progress in the theory of fractional calculus and its potential applications. |
| format | Online |
| id | doab-20.500.12854ir-87413 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-874132024-03-28T03:32:19Z Fractional Calculus - Theory and Applications Macías Díaz, Jorge E. Caputo fractional derivative fractional differential equations hybrid differential equations coupled hybrid Sturm–Liouville differential equation multi-point boundary coupled hybrid condition integral boundary coupled hybrid condition dhage type fixed point theorem linear fractional system distributed delay finite time stability impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses time-fractional diffusion-wave equations Euler wavelets integral equations numerical approximation coupled systems Riemann–Liouville fractional derivative Hadamard–Caputo fractional derivative nonlocal boundary conditions existence fixed point LR-p-convex interval-valued function Katugampola fractional integral operator Hermite-Hadamard type inequality Hermite-Hadamard-Fejér inequality space–fractional Fokker–Planck operator time–fractional wave with the time–fractional damped term Laplace transform Mittag–Leffler function Grünwald–Letnikov scheme potential and current in an electric transmission line random walk of a population fractional derivative gradient descent economic growth group of seven fractional order derivative model GPU a spiral-plate heat exchanger parallel model heat transfer nonlinear system stochastic epidemic model malaria infection stochastic generalized Euler nonstandard finite-difference method positivity boundedness n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science In recent years, fractional calculus has led to tremendous progress in various areas of science and mathematics. New definitions of fractional derivatives and integrals have been uncovered, extending their classical definitions in various ways. Moreover, rigorous analysis of the functional properties of these new definitions has been an active area of research in mathematical analysis. Systems considering differential equations with fractional-order operators have been investigated thoroughly from analytical and numerical points of view, and potential applications have been proposed for use in sciences and in technology. The purpose of this Special Issue is to serve as a specialized forum for the dissemination of recent progress in the theory of fractional calculus and its potential applications. 2022-07-06T11:48:26Z 2022-07-06T11:48:26Z 2022 book ONIX_20220706_9783036532622_8 9783036532622 9783036532639 https://directory.doabooks.org/handle/20.500.12854/87413 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/5600 https://mdpi.com/books/pdfview/book/5600 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-3263-9 10.3390/books978-3-0365-3263-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036532622 9783036532639 198 Basel open access |
| spellingShingle | Caputo fractional derivative fractional differential equations hybrid differential equations coupled hybrid Sturm–Liouville differential equation multi-point boundary coupled hybrid condition integral boundary coupled hybrid condition dhage type fixed point theorem linear fractional system distributed delay finite time stability impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses time-fractional diffusion-wave equations Euler wavelets integral equations numerical approximation coupled systems Riemann–Liouville fractional derivative Hadamard–Caputo fractional derivative nonlocal boundary conditions existence fixed point LR-p-convex interval-valued function Katugampola fractional integral operator Hermite-Hadamard type inequality Hermite-Hadamard-Fejér inequality space–fractional Fokker–Planck operator time–fractional wave with the time–fractional damped term Laplace transform Mittag–Leffler function Grünwald–Letnikov scheme potential and current in an electric transmission line random walk of a population fractional derivative gradient descent economic growth group of seven fractional order derivative model GPU a spiral-plate heat exchanger parallel model heat transfer nonlinear system stochastic epidemic model malaria infection stochastic generalized Euler nonstandard finite-difference method positivity boundedness n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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 | Caputo fractional derivative fractional differential equations hybrid differential equations coupled hybrid Sturm–Liouville differential equation multi-point boundary coupled hybrid condition integral boundary coupled hybrid condition dhage type fixed point theorem linear fractional system distributed delay finite time stability impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses time-fractional diffusion-wave equations Euler wavelets integral equations numerical approximation coupled systems Riemann–Liouville fractional derivative Hadamard–Caputo fractional derivative nonlocal boundary conditions existence fixed point LR-p-convex interval-valued function Katugampola fractional integral operator Hermite-Hadamard type inequality Hermite-Hadamard-Fejér inequality space–fractional Fokker–Planck operator time–fractional wave with the time–fractional damped term Laplace transform Mittag–Leffler function Grünwald–Letnikov scheme potential and current in an electric transmission line random walk of a population fractional derivative gradient descent economic growth group of seven fractional order derivative model GPU a spiral-plate heat exchanger parallel model heat transfer nonlinear system stochastic epidemic model malaria infection stochastic generalized Euler nonstandard finite-difference method positivity boundedness n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | Caputo fractional derivative fractional differential equations hybrid differential equations coupled hybrid Sturm–Liouville differential equation multi-point boundary coupled hybrid condition integral boundary coupled hybrid condition dhage type fixed point theorem linear fractional system distributed delay finite time stability impulsive differential equations fractional impulsive differential equations instantaneous impulses non-instantaneous impulses time-fractional diffusion-wave equations Euler wavelets integral equations numerical approximation coupled systems Riemann–Liouville fractional derivative Hadamard–Caputo fractional derivative nonlocal boundary conditions existence fixed point LR-p-convex interval-valued function Katugampola fractional integral operator Hermite-Hadamard type inequality Hermite-Hadamard-Fejér inequality space–fractional Fokker–Planck operator time–fractional wave with the time–fractional damped term Laplace transform Mittag–Leffler function Grünwald–Letnikov scheme potential and current in an electric transmission line random walk of a population fractional derivative gradient descent economic growth group of seven fractional order derivative model GPU a spiral-plate heat exchanger parallel model heat transfer nonlinear system stochastic epidemic model malaria infection stochastic generalized Euler nonstandard finite-difference method positivity boundedness n/a thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20220706_9783036532622_8 |