Moreira O. Basic Theory of Fractional Differential Equations 2024
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Moreira O. Basic Theory of Fractional Differential Equations 2024
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Textbook in PDF format
"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.
About the Editor
List of Contributors
List of Abbreviations
Preface
Introduction
Exact Solutions for Some Fractional Differential Equations
Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional
Solution of Fractional Partial Differential Equations Using Fractional Power Series Method
Novel Stability Results for Caputo Fractional Differential Equations
Block Backward Differentiation Formulas for Fractional Differential Equations
Nonlinear Fractional Differential Equations with Nonlocal Fractional Integro-Differential Boundary Conditions
A New Fractional Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Existence of Solutions for Nonlinear Singular Fractional Differential Equations with Fractional Derivative Condition
On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative
On Fractional Order Hybrid Differential Equations
Fuzzy Conformable Fractional Differential Equations
On Hilfer-Type Fractional Impulsive Differential Equations
The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations
Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives
Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control
Index