Basic Theory of Fractional Differential Equations / edited by Olga Moreira.

Format:

Book

Contributor:

Moreira, Olga, editor.

Language:

English

Subjects (All):

Differential equations.

Fractional calculus.

Physical Description:

1 online resource (354 pages)

Edition:

First edition.

Place of Publication:

Burlington, ON : Arcler Press, [2024]

Summary:

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. Generated by AI.

Contents:

Cover

HalfTitle Page

Title Page

Copyright

Declaration

About the Editor

Table of Contents

List of Contributors

List of Abbreviations

Preface

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

Preliminaries

Auxiliary Results

The Existence of Solution For the Gslle

Numerical Examples Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Description based on print version record.

Includes bibliographical references and index.

ISBN:

9781774699898

1774699893

OCLC:

1446131719