128 citations · 455 across the 16 of their papers we have counts for
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A remark on local fractional calculus and ordinary derivatives
Ricardo Almeida, Malgorzata Guzowska, Tatiana Odzijewicz
In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some…
Fractional differential equations with dependence on the Caputo-Katugampola derivative
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
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 n…
Green's Theorem for Generalized Fractional Derivatives
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We study three types of generalized partial fractional operators. An extension of Green's theorem, by considering partial fractional derivatives with more general kernels, is prove…
Generalized fractional calculus with applications to the calculus of variations
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We study operators that are generalizations of the classical Riemann-Liouville fractional integral, and of the Riemann-Liouville and Caputo fractional derivatives. A useful formula…