Vasundhara D. Understanding Integro-Differential Equations 2023

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Vasundhara D. Understanding Integro-Differential Equations 2023

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Textbook in PDF format This book presents an overview of the theory of Integro-Differential Equations (InDEs). Beginning with the history of the inception of InDEs, the existence and uniqueness results for the initial value problem of InDEs is given. Next, stability concepts are discussed, including Lyapunov stability and Ulam-Rassias stability. Numerical techniques and operational matrix methods are also introduced. A specific study of second order InDEs of Fredholm InDes in complex plane is presented and an application to Finance is given. Preface An Overview of Existence Results for Some Integro-Differential Equations A Brief Overview of the Stability Theory of Integro-Differential Equations Advances in the Qualitative Theory of Integro–Differential Equations Mathematical Methods for Integro-Differential Equations and Their Applications Operational Matrices for Solving Fractional Order Integral and Integro-Differential Equations On a Second Order Nonlinear Integro-Differential Equation of Fredholm Type in a Complex Plane Linear and Nonlinear Partial Integro-Differential Equations Arising from Finance Index