A Note on Fractional Sumudu Transform | Zendy

Vineet Gupta | Zendy; Bhavna Shrama | Zendy; Adem Kılıçman | Zendy

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A Note on Fractional Sumudu Transform

Author(s) -

Vineet Gupta,

Bhavna Shrama,

Adem Kılıçman

Publication year - 2010

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2010/154189

Subject(s) - mathematics , laplace transform , differentiable function , fractional calculus , duality (order theory) , inversion (geology) , order (exchange) , derivative (finance) , mathematical analysis , pure mathematics , paleontology , structural basin , biology , finance , financial economics , economics

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

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