Fractional Calculus: Theory and Applications

Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly...

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Auteur principal: Francesco Mainardi (Ed.)
Format: Online
Langue:anglais
Publié: MDPI - Multidisciplinary Digital Publishing Institute 2021
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Accès en ligne:29066
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author Francesco Mainardi (Ed.)
author_browse Francesco Mainardi (Ed.)
author_facet Francesco Mainardi (Ed.)
author_sort Francesco Mainardi (Ed.)
collection Directory of Open Access Books
description Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type. It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention. The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences.
format Online
id doab-20.500.12854ir-47974
institution Directory of Open Access Books
language eng
publishDate 2021
publishDateRange 2021
publishDateSort 2021
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
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spelling doab-20.500.12854ir-479742023-12-20T18:40:40Z Fractional Calculus: Theory and Applications Francesco Mainardi (Ed.) QA1-939 QC1-999 fractional calculus numerical methods fractional derivatives and integrals integral transforms and high transcendental functions bic Book Industry Communication::P Mathematics & science Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type. It is a subject that has gained considerably popularity and importance in the past few decades in diverse fields of science and engineering. Efficient analytical and numerical methods have been developed but still need particular attention. The purpose of this Special Issue is to establish a collection of articles that reflect the latest mathematical and conceptual developments in the field of fractional calculus and explore the scope for applications in applied sciences. 2021-02-11T13:59:31Z 2021-02-11T13:59:31Z 2018-09-20 11:39:19 2018 book 29066 9783038972075 9783038972068 https://directory.doabooks.org/handle/20.500.12854/47974 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://play.google.com/books/publish/a/14935057684283403269#details/ISBN:9783038972068 http://www.mdpi.com/books/pdfview/book/755 http://www.mdpi.com/books/pdfview/book/755 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-207-5 10.3390/books978-3-03897-207-5 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038972075 9783038972068 208 open access
spellingShingle QA1-939
QC1-999
fractional calculus
numerical methods
fractional derivatives and integrals
integral transforms and high transcendental functions
bic Book Industry Communication::P Mathematics & science
Francesco Mainardi (Ed.)
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 QA1-939
QC1-999
fractional calculus
numerical methods
fractional derivatives and integrals
integral transforms and high transcendental functions
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
QC1-999
fractional calculus
numerical methods
fractional derivatives and integrals
integral transforms and high transcendental functions
bic Book Industry Communication::P Mathematics & science
url 29066
work_keys_str_mv AT francescomainardied fractionalcalculustheoryandapplications