An Efficient Computational Method for Differential Equations of Fractional Type

An effective solution method of fractional ordinary and partial differential equations is proposed in the present paper. The standard Adomian Decomposition Method (ADM) modified via introducing a functional term involving both variable parameter. A residual approach then adopted to identify optimal value embedded parameter within frame L2 norm. Numerical experiments on sample problems open literature prove that presented algorithm quite accurate, more advantageous over traditional ADM straightforward implement for recent focus mathematical models. Better performance further evidenced against some compared commonly used numerical techniques.