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Comput. 218(3):860-865, 2011)} introduced a new fractional integral operator given by, \\[ \\big({}^\\rho \\mathcal{I}^\\alpha_{a+}f\\big)(x) = \\frac{\\rho^{1- \\alpha }}{\\Gamma({\\alpha})} \\int^x_a \\frac{\\tau^{\\rho-1} f(\\tau) }{(x^\\rho - \\tau^\\rho)^{1-\\alpha}}\\, d\\tau, \\] which generalizes the well-known Riemann-Liouville and the Hadamard fractional integrals. In this paper we present a new fractional derivative which generalizes the familiar Riemann-Liouville and the Hadamard fractional derivatives to a single form. 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