Advanced fractional differential and integral equations /:
Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, h...
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| Hauptverfasser: | , , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hauppauge, New York :
Nova Science Publishers, Inc.,
2014.
|
| Schriftenreihe: | Mathematics research developments series.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of. |
| Beschreibung: | 1 online resource. |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781634631327 1634631323 |
Internformat
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| 505 | 8 | |a Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions. | |
| 505 | 8 | |a Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page. | |
| 520 | |a Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of. | ||
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| author | Abbas, Saīd Benchohra, M. (Mouffak) N'Guerekata, Gaston M., 1953- |
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| contents | ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; Library of Congress Cataloging-in-Publication Data; Dedication; Contents; Preface; Introduction; Chapter 1: Preliminary Background; Chapter 2: Nonlinear Differential Equations of Fractional Order; Chapter 3: Fractional Order Riemann-Liouville Integral Equations; Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations; Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations. Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions. Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page. |
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| id | ZDB-4-EBA-ocn899576388 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:26:24Z |
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| spelling | Abbas, Saīd, author. http://id.loc.gov/authorities/names/nb2012022976 Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US). Hauppauge, New York : Nova Science Publishers, Inc., 2014. 1 online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematics research developments Includes bibliographical references and index. ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; Library of Congress Cataloging-in-Publication Data; Dedication; Contents; Preface; Introduction; Chapter 1: Preliminary Background; Chapter 2: Nonlinear Differential Equations of Fractional Order; Chapter 3: Fractional Order Riemann-Liouville Integral Equations; Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations; Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations. Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions. Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page. Fractional calculus deals with extensions of derivatives and integrals to non-integer orders. It represents a powerful tool in applied mathematics to study a myriad of problems from different fields of science and engineering, with many break-through results found in mathematical physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, astrophysics, cosmology and bioengineering. This book is devoted to the existence and uniqueness of solutions and some Ulam's type stability concepts for various classes of functional differential and integral equations of. Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional differential equations fast Fractional integrals fast Benchohra, M. (Mouffak), author. https://id.oclc.org/worldcat/entity/E39PCjFDBVTYgTw4wwhM4rXFmm http://id.loc.gov/authorities/names/no2008003331 N'Guerekata, Gaston M., 1953- author. https://id.oclc.org/worldcat/entity/E39PBJrm6pJCyRdPBMYbV7Vpyd http://id.loc.gov/authorities/names/n2001014650 has work: Advanced fractional differential and integral equations (Text) https://id.oclc.org/worldcat/entity/E39PCH78Kggxr8KmrtbrJVxCHy https://id.oclc.org/worldcat/ontology/hasWork Print version: 9781634631099 1634631099 (DLC) 2014036539 (OCoLC)890510672 Mathematics research developments series. http://id.loc.gov/authorities/names/no2009139785 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=940563 Volltext |
| spellingShingle | Abbas, Saīd Benchohra, M. (Mouffak) N'Guerekata, Gaston M., 1953- Advanced fractional differential and integral equations / Mathematics research developments series. ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; ADVANCED FRACTIONAL DIFFERENTIAL AND INTEGRAL EQUATIONS; Library of Congress Cataloging-in-Publication Data; Dedication; Contents; Preface; Introduction; Chapter 1: Preliminary Background; Chapter 2: Nonlinear Differential Equations of Fractional Order; Chapter 3: Fractional Order Riemann-Liouville Integral Equations; Chapter 4: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Integral Equations; Chapter 5: Fractional Order Riemann-Liouville Volterra-Stieltjes Quadratic Delay Integral Equations. Chapter 6: Fractional Order Riemann-Liouville Integro-Differential EquationsChapter 7: Fractional Order Riemann-Liouville Delay Integro-Differential Equations; Chapter 8: Abstract Integral Equations; Chapter 9: Abstract Integro-Differential Equations; Chapter 10: Abstract Integro-Differential Inclusions; Chapter 11: Weak Solutions for Nonlinear Fractional Differential Equations; Chapter 12: Weak Solutions for Nonlinear Fractional Differential Inclusions; Chapter 13: Ulam Stabilities for the Darboux Problem for Partial Fractional Differential Equations and Inclusions. Appendix A: Interpretations and Motivations for Fractional DerivativeReferences; Index; Blank Page. Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional differential equations fast Fractional integrals fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2014000574 http://id.loc.gov/authorities/subjects/sh85067104 |
| title | Advanced fractional differential and integral equations / |
| title_auth | Advanced fractional differential and integral equations / |
| title_exact_search | Advanced fractional differential and integral equations / |
| title_full | Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US). |
| title_fullStr | Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US). |
| title_full_unstemmed | Advanced fractional differential and integral equations / Said Abbas, Mouffak Benchohra and Gaston Mandata N'Guerekata (Morgan State University, MD, US). |
| title_short | Advanced fractional differential and integral equations / |
| title_sort | advanced fractional differential and integral equations |
| topic | Fractional differential equations. http://id.loc.gov/authorities/subjects/sh2014000574 Fractional integrals. http://id.loc.gov/authorities/subjects/sh85067104 Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Fractional differential equations fast Fractional integrals fast |
| topic_facet | Fractional differential equations. Fractional integrals. Équations différentielles fractionnaires. Intégrales fractionnaires. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Fractional differential equations Fractional integrals |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=940563 |
| work_keys_str_mv | AT abbassaid advancedfractionaldifferentialandintegralequations AT benchohram advancedfractionaldifferentialandintegralequations AT nguerekatagastonm advancedfractionaldifferentialandintegralequations |