Advanced applications of fractional differential operators to science and technology:
"This book examines fractional calculus and its application in science, engineering, and technology"--
Saved in:
| Other Authors: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hershey, PA
IGI Global
[2020]
|
| Subjects: | |
| Online Access: | DE-1050 DE-83 DE-91 DE-898 Volltext |
| Summary: | "This book examines fractional calculus and its application in science, engineering, and technology"-- |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781799831242 |
| DOI: | 10.4018/978-1-7998-3122-8 |
Staff View
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| 245 | 1 | 0 | |a Advanced applications of fractional differential operators to science and technology |c Ahmed Ezzat Matouk |
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| 505 | 8 | |a Title Page -- Copyright Page -- Book Series -- Dedication -- Editorial Advisory Board -- Table of Contents -- Detailed Table of Contents -- Foreword -- Preface -- Section 1: Fractional-Order Calculus in Biological Models -- Chapter 1: Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination -- Chapter 2: Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect -- Chapter 3: Application of Fractional Optimal Control Problems on Some Mathematical Bioscience -- Section 2: Chaotic Dynamics of Fractional-Order Systems | |
| 505 | 8 | |a Chapter 4: Dynamics of Some Discretized Fractional-Order Differential Equations -- Chapter 5: On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System -- Chapter 6: Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques -- Section 3: Applications of Fractional Derivatives to Physics -- Chapter 7: Generalized Brinkman Type Dusty Fluid Model for Blood Flow -- Chapter 8: Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives | |
| 505 | 8 | |a Chapter 9: Properties of Spatial-Rotation Transformations of Fractional Derivatives -- Chapter 10: On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation -- Section 4: New Trends in Applied Mathematics -- Chapter 11: Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration -- Chapter 12: The Invariant Subspace Method for Solving Fractional Partial Differential Equations -- Chapter 13: Apparent Measure, Integral of Real Order, and Relative Dimension -- Section 5: Applications of Fractional Calculus to Engineering | |
| 505 | 8 | |a Chapter 14: Fractional-Order-Based Inferential Control -- Chapter 15: On the Application of Fractional Derivatives to the Study of Memristor Dynamics -- Compilation of References -- About the Contributors -- Index | |
| 520 | |a "This book examines fractional calculus and its application in science, engineering, and technology"-- | ||
| 650 | 4 | |a Engineering mathematics | |
| 650 | 4 | |a Fractional differential equations | |
| 650 | 7 | |a Engineering mathematics |2 fast | |
| 650 | 7 | |a Fractional differential equations |2 fast | |
| 700 | 1 | |a Matouk, Ahmed Ezzat |4 edt | |
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| contents | Title Page -- Copyright Page -- Book Series -- Dedication -- Editorial Advisory Board -- Table of Contents -- Detailed Table of Contents -- Foreword -- Preface -- Section 1: Fractional-Order Calculus in Biological Models -- Chapter 1: Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination -- Chapter 2: Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect -- Chapter 3: Application of Fractional Optimal Control Problems on Some Mathematical Bioscience -- Section 2: Chaotic Dynamics of Fractional-Order Systems Chapter 4: Dynamics of Some Discretized Fractional-Order Differential Equations -- Chapter 5: On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System -- Chapter 6: Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques -- Section 3: Applications of Fractional Derivatives to Physics -- Chapter 7: Generalized Brinkman Type Dusty Fluid Model for Blood Flow -- Chapter 8: Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives Chapter 9: Properties of Spatial-Rotation Transformations of Fractional Derivatives -- Chapter 10: On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation -- Section 4: New Trends in Applied Mathematics -- Chapter 11: Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration -- Chapter 12: The Invariant Subspace Method for Solving Fractional Partial Differential Equations -- Chapter 13: Apparent Measure, Integral of Real Order, and Relative Dimension -- Section 5: Applications of Fractional Calculus to Engineering Chapter 14: Fractional-Order-Based Inferential Control -- Chapter 15: On the Application of Fractional Derivatives to the Study of Memristor Dynamics -- Compilation of References -- About the Contributors -- Index |
| ctrlnum | (OCoLC)1224486931 (DE-599)BVBBV046741242 |
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| id | DE-604.BV046741242 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:39:23Z |
| indexdate | 2024-07-20T06:01:26Z |
| institution | BVB |
| isbn | 9781799831242 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032151151 |
| oclc_num | 1224486931 |
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| physical | 1 Online-Ressource |
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| publishDate | 2020 |
| publishDateSearch | 2020 |
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| publisher | IGI Global |
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| spelling | Advanced applications of fractional differential operators to science and technology Ahmed Ezzat Matouk Hershey, PA IGI Global [2020] 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Title Page -- Copyright Page -- Book Series -- Dedication -- Editorial Advisory Board -- Table of Contents -- Detailed Table of Contents -- Foreword -- Preface -- Section 1: Fractional-Order Calculus in Biological Models -- Chapter 1: Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination -- Chapter 2: Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect -- Chapter 3: Application of Fractional Optimal Control Problems on Some Mathematical Bioscience -- Section 2: Chaotic Dynamics of Fractional-Order Systems Chapter 4: Dynamics of Some Discretized Fractional-Order Differential Equations -- Chapter 5: On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System -- Chapter 6: Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques -- Section 3: Applications of Fractional Derivatives to Physics -- Chapter 7: Generalized Brinkman Type Dusty Fluid Model for Blood Flow -- Chapter 8: Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives Chapter 9: Properties of Spatial-Rotation Transformations of Fractional Derivatives -- Chapter 10: On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation -- Section 4: New Trends in Applied Mathematics -- Chapter 11: Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration -- Chapter 12: The Invariant Subspace Method for Solving Fractional Partial Differential Equations -- Chapter 13: Apparent Measure, Integral of Real Order, and Relative Dimension -- Section 5: Applications of Fractional Calculus to Engineering Chapter 14: Fractional-Order-Based Inferential Control -- Chapter 15: On the Application of Fractional Derivatives to the Study of Memristor Dynamics -- Compilation of References -- About the Contributors -- Index "This book examines fractional calculus and its application in science, engineering, and technology"-- Engineering mathematics Fractional differential equations Engineering mathematics fast Fractional differential equations fast Matouk, Ahmed Ezzat edt Erscheint auch als Druck-Ausgabe, hardcover 978-1-7998-3122-8 Erscheint auch als Druck-Ausgabe, softcover 978-1-7998-3123-5 https://doi.org/10.4018/978-1-7998-3122-8 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Advanced applications of fractional differential operators to science and technology Title Page -- Copyright Page -- Book Series -- Dedication -- Editorial Advisory Board -- Table of Contents -- Detailed Table of Contents -- Foreword -- Preface -- Section 1: Fractional-Order Calculus in Biological Models -- Chapter 1: Fractional-Order Calculus in Antimicrobial Resistance and Waning Vaccination -- Chapter 2: Bifurcation and Chaos in a Discrete Fractional-Order Prey-Predator System Involving Allee Effect -- Chapter 3: Application of Fractional Optimal Control Problems on Some Mathematical Bioscience -- Section 2: Chaotic Dynamics of Fractional-Order Systems Chapter 4: Dynamics of Some Discretized Fractional-Order Differential Equations -- Chapter 5: On the Influence of Fractional Derivative on Chaos Control of a New Fractional-Order Hyperchaotic System -- Chapter 6: Synchronization of Fractional-Order Hyperchaotic Finance Systems Using Sliding Mode Control Techniques -- Section 3: Applications of Fractional Derivatives to Physics -- Chapter 7: Generalized Brinkman Type Dusty Fluid Model for Blood Flow -- Chapter 8: Revisiting Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach With Axiomatic Local Metric Derivatives Chapter 9: Properties of Spatial-Rotation Transformations of Fractional Derivatives -- Chapter 10: On the Approximate Solution of Caputo-Riesz-Feller Fractional Diffusion Equation -- Section 4: New Trends in Applied Mathematics -- Chapter 11: Generalized Fractional Ostrowski's Type Inequalities Involving Riemann-Liouville Fractional Integration -- Chapter 12: The Invariant Subspace Method for Solving Fractional Partial Differential Equations -- Chapter 13: Apparent Measure, Integral of Real Order, and Relative Dimension -- Section 5: Applications of Fractional Calculus to Engineering Chapter 14: Fractional-Order-Based Inferential Control -- Chapter 15: On the Application of Fractional Derivatives to the Study of Memristor Dynamics -- Compilation of References -- About the Contributors -- Index Engineering mathematics Fractional differential equations Engineering mathematics fast Fractional differential equations fast |
| title | Advanced applications of fractional differential operators to science and technology |
| title_auth | Advanced applications of fractional differential operators to science and technology |
| title_exact_search | Advanced applications of fractional differential operators to science and technology |
| title_exact_search_txtP | Advanced applications of fractional differential operators to science and technology |
| title_full | Advanced applications of fractional differential operators to science and technology Ahmed Ezzat Matouk |
| title_fullStr | Advanced applications of fractional differential operators to science and technology Ahmed Ezzat Matouk |
| title_full_unstemmed | Advanced applications of fractional differential operators to science and technology Ahmed Ezzat Matouk |
| title_short | Advanced applications of fractional differential operators to science and technology |
| title_sort | advanced applications of fractional differential operators to science and technology |
| topic | Engineering mathematics Fractional differential equations Engineering mathematics fast Fractional differential equations fast |
| topic_facet | Engineering mathematics Fractional differential equations |
| url | https://doi.org/10.4018/978-1-7998-3122-8 |
| work_keys_str_mv | AT matoukahmedezzat advancedapplicationsoffractionaldifferentialoperatorstoscienceandtechnology |