On the existence and global structure of solutions for a class of fractional feedback control systems


Hero Salahifard - Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran


In this paper, using topological tools, guiding functions and bifurcation theory, we deal with the existence of a connected subset of nontrivial solutions of a system whose dynamics of the system and feedback law are expressed in the form of fractional differential equations.


Bifurcation theory, boundary value problem, Caputo derivative, degree theory, Fredholm operators, guiding functions