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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Main Author Mainardi, Francesco
Format eBook
LanguageEnglish
Published MDPI - Multidisciplinary Digital Publishing Institute 2018
MDPI
Subjects
Book Industry Communication
fractional calculus
fractional derivatives and integrals
integral transforms and high transcendental functions
Mathematics & science
numerical methods
QA1-939
QC1-999
Online AccessGet full text
ISBN3038972061
9783038972068
9783038972075
303897207X
DOI10.3390/books978-3-03897-207-5

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Abstract 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.
AbstractList 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.
Author Francesco Mainardi (Ed.)
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fractional calculus
fractional derivatives and integrals
integral transforms and high transcendental functions
Mathematics & science
numerical methods
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Title Fractional Calculus: Theory and Applications
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