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Ulam stabilities for the Darboux problem for partial fractional differential inclusions

Abbas S., Benchohra M.

Demonstratio Mathematica

2014

Vol. 47, nr 4

826--838

In this article, we investigate some Ulam’s type stability concepts for the Darboux problem of partial fractional differential inclusions with a nonconvex valued right hand side. Our results are based upon Covitz-Nadler fixed point theorem and fractional version of Gronwall’s inequality.

Some remarks on nonuniqueness of minimizers for discrete minimization problems

Chipot M., Elfanni A.

Journal of Applied Analysis

2001

Vol. 7, nr 2

191-208

We investigate the issue of uniqueness and nonuniqueness of minimizers for the approximation of variational problems. We show that when the continuous problem does not admit a minimizer its approximation by finite elements may lead to several discrete minimizers.