128 citations · 1.4k across the 47 of their papers we have counts for
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Multiobjective fractional variational calculus in terms of a combined Caputo derivative
Agnieszka B. Malinowska, Delfim F. M. Torres
The study of fractional variational problems in terms of a combined fractional Caputo derivative is introduced. Necessary optimality conditions of Euler-Lagrange type for the basic…
Fractional variational calculus of variable order
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann-Liouville while…
Fractional calculus of variations for a combined Caputo derivative
Agnieszka B. Malinowska, Delfim F. M. Torres
We generalize the fractional Caputo derivative to the fractional derivative , which is a convex combination of the left Caputo fractional derivative of order a…
Fractional Euler-Lagrange differential equations via Caputo derivatives
Ricardo Almeida, Agnieszka B. Malinowska, Delfim F. M. Torres
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and r…
The power quantum calculus and variational problems
Khaled A. Aldwoah, Agnieszka B. Malinowska, Delfim F. M. Torres
We introduce the power difference calculus based on the operator , where is an odd positive integer and . Properties of the…
Fractional Variational Calculus with Classical and Combined Caputo Derivatives
Tatiana Odzijewicz, Agnieszka B. Malinowska, Delfim F. M. Torres
We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional der…