22 citations · 253 across the 65 of their papers we have counts for
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The similarity method and explicit solutions for the fractional space one-phase Stefan problems
S. D. Roscani, D. A. Tarzia, L. Venturato
In this paper we obtain self-similarity solutions for a one-phase one-dimensional fractional space one-phase Stefan problem in terms of the three parametric Mittag-Leffer function…
Optimal control of differential quasivariational inequalities with applications in contact mechanics
Mircea Sofonea, Julieta Bollati, Domingo A. Tarzia
We consider a differential quasivariational inequality for which we state and prove the continuous dependence of the solution with respect to the data. This convergence result allo…
On the Tykhonov Well-posedness of an Antiplane Shear Problem
Mircea Sofonea, Domingo A. Tarzia
We consider a boundary value problem which describes the frictional antiplane shear of an elastic body. The process is static and friction is modeled with a slip-dependent version…
Approximate solutions to one-phase Stefan-like problems with space-dependent latent heat
Julieta Bollati, Domingo A. Tarzia
The work in this paper concerns the study of different approximations for one-dimensional one-phase Stefan-like problems with a space-dependent latent heat. It is considered two di…
Convergence Results for Optimal Control Problems Governed by Elliptic Quasivariational Inequalities
Mircea Sofonea, Domingo A. Tarzia
We consider an optimal control problem $\cQ$ governed by an elliptic quasivariational inequality with unilateral constraints. The existence of optimal pairs of the problem is a wel…
Explicit Solutions to Fractional Stefan-like problems for Caputo and Riemann-Liouville Derivatives
Sabrina Roscani, Nahuel Caruso, Domingo Tarzia
Two fractional two-phase Stefan-like problems are considered by using Riemann-Liouville and Caputo derivatives of order verifying that they coincide with the same cla…