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Some relations involving a generalized fractional derivative operator

Some relations involving a generalized fractional derivative operator

Recently, Katugampola (Appl. Math. Comput. 218:860-865, 2011) studied a special case of the Erdélyi-Kober generalized fractional derivative. This special case generalized the well-known Riemann-Liouville and the Hadamard fractional integrals into a single form. Katugampola denoted this special case by the operator . Some properties and examples for this fractional derivative …