Basic Theory of Fractional Differential Equations
Arcler Press (Verlag)
978-1-77469-899-0 (ISBN)
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Basic Theory of Fractional Differential Equations is a contemporary collection of 16 articles that explores modern methods and applications of FDEs. It covers the extended Jacobi elliptic function expansion method, numerical approximation techniques like -step continuous BDFs for FIVPs, stability theories, and various fractional derivatives. The book finds applications in diverse fields, making it a valuable tool for solving real-world problems in physics, engineering, finance, and biology.
Olga Moreira holds an M.Sc. and Ph.D. in Astrophysics, along with a B.Sc. and M.Sc. in Physics and Applied Mathematics with specialization in Astronomy, showcasing her strong academic background. With extensive experience as a technical writer and researcher, Olga has excelled in her field. She has been honoured with prestigious fellowships during her postgraduate studies at two renowned European institutions specializing in Astrophysics and Space Science: the European Southern Observatory and the European Space Agency.
Chapter 1 Introduction
Chapter 2 Exact Solutions for Some Fractional Differential Equations
Chapter 3 Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional Derivative
Chapter 4 Solution of Fractional Partial Differential Equations Using Fractional Power Series Method
Chapter 5 Novel Stability Results for Caputo Fractional Differential Equations
Chapter 6 Block Backward Differentiation Formulas for Fractional Differential Equations
Chapter 7 Nonlinear Fractional Differential Equations with Nonlocal Fractional Integro-Differential Boundary Conditions
Chapter 8 A New Fractional Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Chapter 9 Existence of Solutions for Nonlinear Singular Fractional Differential Equations with Fractional Derivative Condition
Chapter 10 On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative
Chapter 11 On Fractional Order Hybrid Differential Equations
Chapter 12 Fuzzy Conformable Fractional Differential Equations
Chapter 13 On Hilfer-Type Fractional Impulsive Differential Equations
Chapter 14 The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations
Chapter 15 Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
Chapter 16 Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives
Chapter 17 Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control
| Erscheinungsdatum | 05.12.2023 |
|---|---|
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 319 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-77469-899-4 / 1774698994 |
| ISBN-13 | 978-1-77469-899-0 / 9781774698990 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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