A note on fractional sumudu transform

We propose a new definition of a fractional-order sumudu transform for fractional differentiable functions. in the development of the definition we use fractional analysis based on the modified riemann-liouville derivative that we name the fractional sumudu transform. we also established a relationship between fractional laplace and sumudu duality with complex inversion formula for fractional sumudu transform and apply new definition to solve fractional differential equations. copyright © 2010 v. g. gupta et al.