03030nam 22004693 450 991098464610332120240711080259.097817746998981774699893(MiAaPQ)EBC31520867(Au-PeEL)EBL31520867(CKB)32704776100041(Exl-AI)31520867(OCoLC)1446131719(EXLCZ)993270477610004120240711d2024 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierBasic Theory of Fractional Differential Equations1st ed.Burlington :Arcler Education Inc,2024.©2024.1 online resource (354 pages)9781774698990 1774698994 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 -- Abstract -- Introduction -- Preliminaries -- Auxiliary Results -- The Existence of Solution For the Gslle -- Numerical ExamplesGenerated by AI.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.Fractional calculusGenerated by AIDifferential equationsGenerated by AIFractional calculusDifferential equationsMoreira Olga1793576MiAaPQMiAaPQMiAaPQBOOK9910984646103321Basic Theory of Fractional Differential Equations4333517UNINA