Overview

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.

Full Product Details

Author:   Olga Moreira
Publisher:   Arcler Press
Imprint:   Arcler Press
Weight:   0.319kg
ISBN:  

9781774698990

ISBN 10:   1774698994
Pages:   352
Publication Date:   31 March 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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Table of Contents

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

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Author Information

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.

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