... of the fractional order on the mechanical system is evaluated. Design/methodology/approach In the present contribution, an extension of the Orthogonal Collocation Method to solve fractional differential equations is proposed. Findings In general, the proposed methodology was able to solve a classical...

...Q.X. Liu; J.K. Liu; Y.M. Chen Purpose A nonclassical method, usually called memory-free approach, has shown promising potential to release arithmetic complexity and meets high memory-storage requirements in solving fractional differential equations. Though many successful applications indicate...

... derivatives by fractional order. There are many advantages over the simulation of natural phenomenon represented by fractional differential equation vis a vis those represented by integer order differential equations. The main aim to propose this method is to model interdisciplinary real-life problems in term...