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• W2515801155 abstract "In this paper, we present a new type of fractional operator, the Caputo–Katugampola derivative. The Caputo and the Caputo–Hadamard fractional derivatives are special cases of this new operator. An existence and uniqueness theorem for a fractional Cauchy-type problem, with dependence on the Caputo–Katugampola derivative, is proved. A decomposition formula for the Caputo–Katugampola derivative is obtained. This formula allows us to provide a simple numerical procedure to solve the fractional differential equation (FDE)." @default.
• W2515801155 created "2016-09-16" @default.
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• W2515801155 date "2016-09-16" @default.
• W2515801155 modified "2023-09-27" @default.
• W2515801155 title "Fractional Differential Equations With Dependence on the Caputo–Katugampola Derivative" @default.
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• W2515801155 doi "https://doi.org/10.1115/1.4034432" @default.
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