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Basic theory of fractional differential equations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Basic theory of fractional differential equations /edited by Olga Moreira.
其他作者:	Moreira, Olga,
出版者:	Burlington, ON :Arcler Press,c2024.
面頁冊數:	xxii, 330 p. :col. ill. ;25 cm.
標題:	Differential equations.
ISBN:	9781774698990 :

Basic theory of fractional differential equations /
Basic theory of fractional differential equations /edited by Olga Moreira. - Burlington, ON :Arcler Press,c2024. - xxii, 330 p. :col. ill. ;25 cm.

Includes bibliographical references and index.

Chapter 1: Introduction -- Reference -- Chapter 2: Exact Solutions for Some Fractional Differential Equations -- Abstract -- Introduction -- Jumarie's Modified Riemann-liouville Derivative And The Extended Jacobi Elliptic Function Expansion Method -- Applications of the Method -- Space-time Fractional Bidirectional Wave Equations -- The Space-time Nonlinear Fractional Srlw Equation -- Conclusion -- Conflict of Interests -- Acknowledgments -- References -- Chapter 3: Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional -- Abstract -- Introduction -- Preliminaries -- Auxiliary Results -- The Existence of Solution For the Gslle -- Numerical Examples

This book offers an in-depth exploration of fractional differential equations (FDEs), focusing on their methods and applications in modeling complex systems. Edited by Olga Moreira, it comprises 16 articles by various experts who present the extended Jacobi elliptic function expansion method, numerical approximation techniques like the continuous Backward Differentiation Formulas, and stability theories. The text covers practical applications of FDEs in fields such as physics, engineering, and biology, highlighting their role in understanding phenomena like anomalous diffusion and biological networks. This comprehensive collection is intended for researchers and practitioners seeking to apply advanced mathematical tools for solving real-world problems.

ISBN: 9781774698990 :NT$5957Subjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371 / .B375 2024

Dewey Class. No.: 515.35

Basic theory of fractional differential equations /
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245 0 0 $a Basic theory of fractional differential equations / $c edited by Olga Moreira.
260 $a Burlington, ON : $b Arcler Press, $c c2024.
300 $a xxii, 330 p. : $b col. ill. ; $c 25 cm.
504 $a Includes bibliographical references and index.
505 8 $a Chapter 1: Introduction -- Reference -- Chapter 2: Exact Solutions for Some Fractional Differential Equations -- Abstract -- Introduction -- Jumarie's Modified Riemann-liouville Derivative And The Extended Jacobi Elliptic Function Expansion Method -- Applications of the Method -- Space-time Fractional Bidirectional Wave Equations -- The Space-time Nonlinear Fractional Srlw Equation -- Conclusion -- Conflict of Interests -- Acknowledgments -- References -- Chapter 3: Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional -- Abstract -- Introduction -- Preliminaries -- Auxiliary Results -- The Existence of Solution For the Gslle -- Numerical Examples $7 Generated by AI.
520 $a This book offers an in-depth exploration of fractional differential equations (FDEs), focusing on their methods and applications in modeling complex systems. Edited by Olga Moreira, it comprises 16 articles by various experts who present the extended Jacobi elliptic function expansion method, numerical approximation techniques like the continuous Backward Differentiation Formulas, and stability theories. The text covers practical applications of FDEs in fields such as physics, engineering, and biology, highlighting their role in understanding phenomena like anomalous diffusion and biological networks. This comprehensive collection is intended for researchers and practitioners seeking to apply advanced mathematical tools for solving real-world problems. $7 Generated by AI.
650 0 $a Differential equations. $3 183925
650 0 $a Fractional calculus. $3 208302
700 1 $a Moreira, Olga, $e editor. $3 916286