Operators of Fractional Calculus and Their Applications

During the past four decades or so, various operators of fractional calculus, such as those named after Riemann–Liouville, Weyl, Hadamard, Grunwald–Letnikov, Riesz, Erdelyi–Kober, Liouville–Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated app...

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מחבר ראשי: Hari Mohan Srivastava (Ed.)
פורמט: Online
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יצא לאור: MDPI - Multidisciplinary Digital Publishing Institute 2021
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גישה מקוונת:31738
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author Hari Mohan Srivastava (Ed.)
author_browse Hari Mohan Srivastava (Ed.)
author_facet Hari Mohan Srivastava (Ed.)
author_sort Hari Mohan Srivastava (Ed.)
collection Directory of Open Access Books
description During the past four decades or so, various operators of fractional calculus, such as those named after Riemann–Liouville, Weyl, Hadamard, Grunwald–Letnikov, Riesz, Erdelyi–Kober, Liouville–Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous diverse and widespread fields of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional calculus operators provide several potentially useful tools for solving differential, integral, differintegral, and integro-differential equations, together with the fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions of mathematical physics, as well as their extensions and generalizations in one and more variables. In this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional calculus and its multidisciplinary applications.
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spelling doab-20.500.12854ir-552842023-12-20T18:40:40Z Operators of Fractional Calculus and Their Applications Hari Mohan Srivastava (Ed.) QA1-939 QC1-999 applied mathematics fractional derivatives fractional derivatives associated with special functions of mathematical physics fractional integro-differential equations operators of fractional calculus identities and inequalities involving fractional integrals fractional differintegral equations chaos and fractional dynamics fractional differential fractional integrals bic Book Industry Communication::P Mathematics & science During the past four decades or so, various operators of fractional calculus, such as those named after Riemann–Liouville, Weyl, Hadamard, Grunwald–Letnikov, Riesz, Erdelyi–Kober, Liouville–Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous diverse and widespread fields of the mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional calculus operators provide several potentially useful tools for solving differential, integral, differintegral, and integro-differential equations, together with the fractional-calculus analogues and extensions of each of these equations, and various other problems involving special functions of mathematical physics, as well as their extensions and generalizations in one and more variables. In this Special Issue, we invite and welcome review, expository, and original research articles dealing with the recent advances in the theory of fractional calculus and its multidisciplinary applications. 2021-02-11T21:43:21Z 2021-02-11T21:43:21Z 2019-01-16 12:17:12 2019 book 31738 9783038973416 9783038973409 https://directory.doabooks.org/handle/20.500.12854/55284 eng image/jpeg Attribution-NonCommercial-NoDerivatives 4.0 International https://play.google.com/books/publish/a/14935057684283403269#details/ISBN:9783038973409 https://www.mdpi.com/books/pdfview/book/1093 https://www.mdpi.com/books/pdfview/book/1093 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03897-341-6 10.3390/books978-3-03897-341-6 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038973416 9783038973409 136 open access
spellingShingle QA1-939
QC1-999
applied mathematics
fractional derivatives
fractional derivatives associated with special functions of mathematical physics
fractional integro-differential equations
operators of fractional calculus
identities and inequalities involving fractional integrals
fractional differintegral equations
chaos and fractional dynamics
fractional differential
fractional integrals
bic Book Industry Communication::P Mathematics & science
Hari Mohan Srivastava (Ed.)
Operators of Fractional Calculus and Their Applications
title Operators of Fractional Calculus and Their Applications
title_full Operators of Fractional Calculus and Their Applications
title_fullStr Operators of Fractional Calculus and Their Applications
title_full_unstemmed Operators of Fractional Calculus and Their Applications
title_short Operators of Fractional Calculus and Their Applications
title_sort operators of fractional calculus and their applications
topic QA1-939
QC1-999
applied mathematics
fractional derivatives
fractional derivatives associated with special functions of mathematical physics
fractional integro-differential equations
operators of fractional calculus
identities and inequalities involving fractional integrals
fractional differintegral equations
chaos and fractional dynamics
fractional differential
fractional integrals
bic Book Industry Communication::P Mathematics & science
topic_facet QA1-939
QC1-999
applied mathematics
fractional derivatives
fractional derivatives associated with special functions of mathematical physics
fractional integro-differential equations
operators of fractional calculus
identities and inequalities involving fractional integrals
fractional differintegral equations
chaos and fractional dynamics
fractional differential
fractional integrals
bic Book Industry Communication::P Mathematics & science
url 31738
work_keys_str_mv AT harimohansrivastavaed operatorsoffractionalcalculusandtheirapplications