In the present paper, a novel and fundamental approach is presented as an extension of existence and uniqueness theorems of ordinary fractional difference (FDE) which was applied to the reducing Cauchy type problems (CTP). Results present a new interpretation that helps analyze the fractional calculus which implies an elegant superiority of the suggested derivative.
Digital Object Identifier (DOI)
"A Competitive Version of Equivalence Scheme Based on Atangana-Baleanu Fractional Derivative,"
Progress in Fractional Differentiation & Applications: Vol. 7
, Article 4.
Available at: https://dc.naturalspublishing.com/pfda/vol7/iss1/4