A note on fractional Sumudu transform. (English) Zbl 1202.26014

Summary: 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.


26A33 Fractional derivatives and integrals
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