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|Title:||Fractional differential equations with dependence on the Caputo-Katugampola derivative|
Malinowska, A. B.
Fractional differential equations
|Publisher:||American Society of Mechanical Engineers (ASME)|
|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 proven. 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.|
|Appears in Collections:||CIDMA - Artigos|
SCG - Artigos
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