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…
Variational methods for the solution of fractional discrete/continuous Sturm-Liouville problems
Ricardo Almeida, Agnieszka B. Malinowska, M. Luísa Morgado +1
The fractional Sturm-Liouville eigenvalue problem appears in many situations, e.g., while solving anomalous diffusion equations coming from physical and engineering applications. T…