Fractional Calculus and Fractional Differential Equations

Varsha Daftardar-Gejji is Professor at the Department of Mathematics, Savitribai Phule Pune University, India. She completed her Ph.D. at Pune University, India. She has developed original methods for solving fractional differential equations that have become widely popular. Her noteworthy contributions include analysis of fractional differential equations, and developing theories of fractional-ordered dynamical systems and related phenomena such as chaos. She is the editor of the book Fractional Calculus: Theory and Applications and co-authored the book Differential Equations (Schaum’s Outline Series). She has published more than 65 papers in respected international journals in areas of fractional calculus, fractional differential equations and general relativity.

Chapter 1. Numerics of Fractional Differential Equations.- Chapter 2. Adomian Decomposition Method and Fractional Poisson Processes: A Survey.- Chapter 3. On Mittag-Leffler Kernel Dependent Fractional Operators with Variable-Order.- Chapter 4. Analysis of 2-Term Fractional Order Delay Differential Equations.- Chapter 5. Stability Analysis of Two-Dimensional Incommensurate Systems of Fractional Order Differential Equations.- Chapter 6. Artificial Neural Network Approximation of Fractional-order Derivative Operators: Analysis and DSP Implementation.- Chapter 7. Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey.- Chapter 8. Exact Solutions of Fractional Partial Differential Equations by Sumudu Transform Iterative Method.