LEADER 03030nam 22004693 450 001 9910984646103321 005 20240711080259.0 010 $a9781774699898 010 $a1774699893 035 $a(MiAaPQ)EBC31520867 035 $a(Au-PeEL)EBL31520867 035 $a(CKB)32704776100041 035 $a(Exl-AI)31520867 035 $a(OCoLC)1446131719 035 $a(EXLCZ)9932704776100041 100 $a20240711d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Theory of Fractional Differential Equations 205 $a1st ed. 210 1$aBurlington :$cArcler Education Inc,$d2024. 210 4$dİ2024. 215 $a1 online resource (354 pages) 311 08$a9781774698990 311 08$a1774698994 327 $aCover -- 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 Examples$7Generated by AI. 330 $aThis 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.$7Generated by AI. 606 $aFractional calculus$7Generated by AI 606 $aDifferential equations$7Generated by AI 615 0$aFractional calculus 615 0$aDifferential equations 700 $aMoreira$b Olga$01793576 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910984646103321 996 $aBasic Theory of Fractional Differential Equations$94333517 997 $aUNINA