Fractional Dynamical Systems Solved by a Collocation Method Based on Refinable Spaces

A dynamical system is a particle or set of particles whose state changes over time. The dynamics the described by differential equations. If derivatives involved are non-integer order, we obtain fractional system. In this paper, considered with Caputo derivative. We collocated problem in dyadic nodes and used refinable functions as approximation to achieve good degree freedom choice regularity. collocation method stands out particularly useful attractive tool for solving problems various forms. numerical result presented show that solution fits analytical one very well. using