Fractional Calculus: New Applications in Understanding Nonlinear Phenomena Volume: 3
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| Title: | Fractional Calculus: New Applications in Understanding Nonlinear Phenomena Volume: 3 |
|---|---|
| Description: | In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators. These have been intensively studied for modelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natural occurrences and tackle different problems.This book presents ten reviews of recent fractional operators split over three sections:1. Chaotic Systems and Control (covers the Caputo fractional derivative, and a chaotic fractional-order financial system)2. Heat Conduction (covers the Duhamel theorem for time-dependent source terms, and the Cattaneo Hristov model for oscillatory heat transfer)3. Computational Methods and Their Illustrative Applications (covers mathematical analysis for understanding 5 real-word phenomena: HTLV-1 infection of CD4+ T-cells, traveling waves, rumor-spreading, biochemical reactions, and the computational fluid dynamics of a non-powered floating object navigating in an approach channel)This volume is a resource for researchers in physics, biology, behavioral sciences, and mathematics who are interested in new applications of fractional calculus in the study of nonlinear phenomena. |
| Authors: | Mehmet, Yavuz, Necati Özdemir, Necati Özdemir |
| Resource Type: | eBook. |
| Subjects: | Fractional calculus |
| Categories: | MATHEMATICS / Calculus, MATHEMATICS / Linear & Nonlinear Programming |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fractional Calculus: New Applications in Understanding Nonlinear Phenomena Volume: 3 – Name: Abstract Label: Description Group: Ab Data: In the last two decades, many new fractional operators have appeared, often defined using integrals with special functions in the kernel as well as their extended or multivariable forms. Modern operators in fractional calculus have different properties which are comparable to those of classical operators. These have been intensively studied for modelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natural occurrences and tackle different problems.This book presents ten reviews of recent fractional operators split over three sections:1. Chaotic Systems and Control (covers the Caputo fractional derivative, and a chaotic fractional-order financial system)2. Heat Conduction (covers the Duhamel theorem for time-dependent source terms, and the Cattaneo Hristov model for oscillatory heat transfer)3. Computational Methods and Their Illustrative Applications (covers mathematical analysis for understanding 5 real-word phenomena: HTLV-1 infection of CD4+ T-cells, traveling waves, rumor-spreading, biochemical reactions, and the computational fluid dynamics of a non-powered floating object navigating in an approach channel)This volume is a resource for researchers in physics, biology, behavioral sciences, and mathematics who are interested in new applications of fractional calculus in the study of nonlinear phenomena. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mehmet%2C+Yavuz%22">Mehmet, Yavuz</searchLink><br /><searchLink fieldCode="AR" term="%22Necati+Özdemir%2C+Necati+Özdemir%22">Necati Özdemir, Necati Özdemir</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Calculus%22">MATHEMATICS / Calculus</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Linear+%26+Nonlinear+Programming%22">MATHEMATICS / Linear & Nonlinear Programming</searchLink> |
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| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 515.83 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Fractional calculus Type: general Titles: – TitleFull: Fractional Calculus: New Applications in Understanding Nonlinear Phenomena Volume: 3 Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mehmet, Yavuz – PersonEntity: Name: NameFull: Necati Özdemir, Necati Özdemir – PersonEntity: Name: NameFull: Mehmet, Yavuz – PersonEntity: Name: NameFull: Necati Özdemir, Necati Özdemir IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2022 – D: 09 M: 05 Type: profile Y: 2023 Identifiers: – Type: isbn-print Value: 9789815051940 – Type: isbn-electronic Value: 9789815051933 Numbering: – Type: volume Value: 00003 Titles: – TitleFull: Fractional Calculus: New Applications in Understanding Nonlinear Phenomena Volume: 3 Type: main |
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