In this survey paper, we shall establish sufficient conditions for the existence and
uniqueness of solutions for various classes of initial and boundary value problem for …

A look into fractional calculus and their applications from the signal processing point of view
is done in this paper. A coherent approach to the fractional derivative is presented, leading …

This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …

“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …

This monograph provides the most recent and up-to-date developments on fractional
differential and fractional integro-differential equations involving many different potentially …

We discuss existence, uniqueness, and structural stability of solutions of nonlinear
differential equations of fractional order. The differential operators are taken in the Riemann …

We discuss an Adams-type predictor-corrector method for the numericalsolution of fractional
differential equations. The method may be usedboth for linear and for nonlinear problems …

The authors have recently developed a mathematical model for the description of the
behavior of viscoplastic materials. The model is based on a nonlinear differential equation of …

In this paper, we study the existence of numerical solution and stability of a chemostat model
under fractal-fractional order derivative. First, we investigate the positivity and roundedness …

Many recently developed models in areas like viscoelasticity, electrochemistry, diffusion
processes, etc. are formulated in terms of derivatives (and integrals) of fractional (non …