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Generalized Fuzzy Euler-Lagrange equations and transversality conditions
O. S. Fard, R. Almeida, J. Soolaki +1
The study of fuzzy fractional variational problems in terms of a fractional Liouville-Caputo derivative is introduced. Necessary optimality conditions for problems of the fuzzy fra…
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…
A Caputo fractional derivative of a function with respect to another function
Ricardo Almeida
In this paper we consider a Caputo type fractional derivative with respect to another function. Some properties, like the semigroup law, a relationship between the fractional deriv…
Caputo-Hadamard fractional derivatives of variable order
Ricardo Almeida
In this paper we present three types of Caputo-Hadamard derivatives of variable fractional order, and study the relations between them. An approximation formula for each fractional…
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…
Constrained fractional variational problems of variable order
Dina Tavares, Ricardo Almeida, Delfim F. M. Torres
Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint. In this work, we present two fractional isoperimetric problems where…