Approximate controllability for systems of fractional nonlinear differential equations involving Riemann-Liouville derivatives

Abstract

The article objectifies the approximate controllability of fractional nonlinear differential equations having Riemann-Liouville derivatives. First, the existence of solutions is deduced through fixed point approach and then approximate controllability is proved using Cauchy convergence through iterative and approximate techniques. The theory of semigroup together with probability density function has been utilized to reach the desired conclusions.

Keywords

• Nonlinear systems
• Riemann-Liouville fractional derivatives
• Fixed point theorem
• Approximate controllability