Fractional Calculus: new applications in understanding nonliear phenomena.
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 oper...
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Weitere Verfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York :
Bentham Science Publishers,
2022.
|
Schriftenreihe: | Current Developments in Mathematical Sciences Ser.
|
Schlagworte: | |
Online-Zugang: | DE-862 DE-863 |
Zusammenfassung: | 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 formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natu. |
Beschreibung: | Description based upon print version of record. |
Beschreibung: | 1 online resource (275 p.). |
ISBN: | 9815051938 9789815051933 |
Internformat
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300 | |a 1 online resource (275 p.). | ||
490 | 1 | |a Current Developments in Mathematical Sciences Ser. ; |v v.3 | |
500 | |a Description based upon print version of record. | ||
505 | 0 | |a Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- List of Contributors -- Numerical Procedure and its Applications to theFractional-Order Chaotic System Represented withthe Caputo Derivative -- A New Method of Multistage Optimal HomotopyAsymptotic Method for Solution of FractionalOptimal Control Problem -- Complex Chaotic Fractional-order Finance Systemin Price Exponent with Control and Modeling -- The Duhamel Method in Transient HeatConduction: A Rendezvous of Classics and ModernFractional Calculus | |
505 | 8 | |a Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line -- Optimal Homotopy Analysis of a NonlinearFractional-order Model for HTLV-1 Infection ofCD4+ T-Cells -- Behavior Analysis and Asymptotic Stability of theTraveling Wave Solution of the Kaup-KupershmidtEquation for Conformable Derivative -- Mathematical Analysis of a Rumor SpreadingModel within the Frame of Fractional Derivative -- A Unified Approach for the Fractional System ofEquations Arising in the Biochemical Reactionwithout Singular Kernel -- Floating Object Induced Hydro-morphologicalEffects in Approach Channel | |
505 | 8 | |a Subject Index -- Back Cover | |
520 | |a 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 formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natu. | ||
650 | 0 | |a Fractional calculus. |0 http://id.loc.gov/authorities/subjects/sh93004015 | |
650 | 6 | |a Dérivées fractionnaires. | |
650 | 7 | |a Fractional calculus |2 fast | |
700 | 1 | |a Yavuz, Mehmet. |0 http://id.loc.gov/authorities/names/no2021069452 | |
700 | 1 | |a Özdemir, Necati. |0 http://id.loc.gov/authorities/names/no2011127510 | |
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author2 | Yavuz, Mehmet Özdemir, Necati |
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contents | Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- List of Contributors -- Numerical Procedure and its Applications to theFractional-Order Chaotic System Represented withthe Caputo Derivative -- A New Method of Multistage Optimal HomotopyAsymptotic Method for Solution of FractionalOptimal Control Problem -- Complex Chaotic Fractional-order Finance Systemin Price Exponent with Control and Modeling -- The Duhamel Method in Transient HeatConduction: A Rendezvous of Classics and ModernFractional Calculus Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line -- Optimal Homotopy Analysis of a NonlinearFractional-order Model for HTLV-1 Infection ofCD4+ T-Cells -- Behavior Analysis and Asymptotic Stability of theTraveling Wave Solution of the Kaup-KupershmidtEquation for Conformable Derivative -- Mathematical Analysis of a Rumor SpreadingModel within the Frame of Fractional Derivative -- A Unified Approach for the Fractional System ofEquations Arising in the Biochemical Reactionwithout Singular Kernel -- Floating Object Induced Hydro-morphologicalEffects in Approach Channel Subject Index -- Back Cover |
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id | ZDB-4-EBA-on1369649112 |
illustrated | Not Illustrated |
indexdate | 2025-03-18T14:26:43Z |
institution | BVB |
isbn | 9815051938 9789815051933 |
language | English |
oclc_num | 1369649112 |
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series | Current Developments in Mathematical Sciences Ser. |
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spelling | Fractional Calculus [electronic resource] : new applications in understanding nonliear phenomena. New York : Bentham Science Publishers, 2022. 1 online resource (275 p.). Current Developments in Mathematical Sciences Ser. ; v.3 Description based upon print version of record. Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- List of Contributors -- Numerical Procedure and its Applications to theFractional-Order Chaotic System Represented withthe Caputo Derivative -- A New Method of Multistage Optimal HomotopyAsymptotic Method for Solution of FractionalOptimal Control Problem -- Complex Chaotic Fractional-order Finance Systemin Price Exponent with Control and Modeling -- The Duhamel Method in Transient HeatConduction: A Rendezvous of Classics and ModernFractional Calculus Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line -- Optimal Homotopy Analysis of a NonlinearFractional-order Model for HTLV-1 Infection ofCD4+ T-Cells -- Behavior Analysis and Asymptotic Stability of theTraveling Wave Solution of the Kaup-KupershmidtEquation for Conformable Derivative -- Mathematical Analysis of a Rumor SpreadingModel within the Frame of Fractional Derivative -- A Unified Approach for the Fractional System ofEquations Arising in the Biochemical Reactionwithout Singular Kernel -- Floating Object Induced Hydro-morphologicalEffects in Approach Channel Subject Index -- Back Cover 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 formodelling and analysing real-world phenomena. There is now a growing body of research on new methods to understand natu. Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. Fractional calculus fast Yavuz, Mehmet. http://id.loc.gov/authorities/names/no2021069452 Özdemir, Necati. http://id.loc.gov/authorities/names/no2011127510 Print version: Yavuz, Mehmet Fractional Calculus: New Applications in Understanding Nonlinear Phenomena New York : Bentham Science Publishers,c2022 9789815051940 Current Developments in Mathematical Sciences Ser. |
spellingShingle | Fractional Calculus new applications in understanding nonliear phenomena. Current Developments in Mathematical Sciences Ser. Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- List of Contributors -- Numerical Procedure and its Applications to theFractional-Order Chaotic System Represented withthe Caputo Derivative -- A New Method of Multistage Optimal HomotopyAsymptotic Method for Solution of FractionalOptimal Control Problem -- Complex Chaotic Fractional-order Finance Systemin Price Exponent with Control and Modeling -- The Duhamel Method in Transient HeatConduction: A Rendezvous of Classics and ModernFractional Calculus Oscillatory Heat Transfer Due to the Cattaneo-Hristov Model on the Real Line -- Optimal Homotopy Analysis of a NonlinearFractional-order Model for HTLV-1 Infection ofCD4+ T-Cells -- Behavior Analysis and Asymptotic Stability of theTraveling Wave Solution of the Kaup-KupershmidtEquation for Conformable Derivative -- Mathematical Analysis of a Rumor SpreadingModel within the Frame of Fractional Derivative -- A Unified Approach for the Fractional System ofEquations Arising in the Biochemical Reactionwithout Singular Kernel -- Floating Object Induced Hydro-morphologicalEffects in Approach Channel Subject Index -- Back Cover Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. Fractional calculus fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh93004015 |
title | Fractional Calculus new applications in understanding nonliear phenomena. |
title_auth | Fractional Calculus new applications in understanding nonliear phenomena. |
title_exact_search | Fractional Calculus new applications in understanding nonliear phenomena. |
title_full | Fractional Calculus [electronic resource] : new applications in understanding nonliear phenomena. |
title_fullStr | Fractional Calculus [electronic resource] : new applications in understanding nonliear phenomena. |
title_full_unstemmed | Fractional Calculus [electronic resource] : new applications in understanding nonliear phenomena. |
title_short | Fractional Calculus |
title_sort | fractional calculus new applications in understanding nonliear phenomena |
title_sub | new applications in understanding nonliear phenomena. |
topic | Fractional calculus. http://id.loc.gov/authorities/subjects/sh93004015 Dérivées fractionnaires. Fractional calculus fast |
topic_facet | Fractional calculus. Dérivées fractionnaires. Fractional calculus |
work_keys_str_mv | AT yavuzmehmet fractionalcalculusnewapplicationsinunderstandingnonliearphenomena AT ozdemirnecati fractionalcalculusnewapplicationsinunderstandingnonliearphenomena |