On controllability of mixed iterative integrodifferential equations of fractional order

Approximate Controllability of Fractional Integrodifferential Evolution Equations

This paper addresses the issue of approximate controllability for a class of control systemwhich is represented bynonlinear fractional integrodifferential equations with nonlocal conditions. By using semigroup theory, p-mean continuity and fractional calculations, a set of sufficient conditions, are formulated and proved for the nonlinear fractional control systems. More precisely, the results ...

Controllability of Impulsive Fractional Evolution Integrodifferential Equations in Banach Spaces

According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.

Controllability of Impulsive Quasi-linear Fractional Mixed Volterra-fredholm-type Integrodifferential Equations in Banach Spaces

In this paper, we establish a sufficient condition for the controlla-bility of impulsive quasi-linear fractional mixed Volterra-Fredholm-type inte-grodifferential equations in Banach spaces. The results are obtained by using Banach contraction fixed point theorem combined with the fractional calculus theory.

Controllability of nonlinear implicit fractional integrodifferential systems

Integrodifferential equations arise in many fields of science and engineering such as fluid dynamics, biological models, and chemical kinetics. A detailed investigation of integrodifferential equations and their solution via the Laplace transform method can be found in the work of Burton (1983). Recently, fractional integrodifferential equations have been used to model various physical phenomen...

Boundary Controllability of Nonlinear Fractional Integrodifferential Systems