1 citations · 2 across the 4 of their papers we have counts for
4 papers
Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
Dariusz Idczak
In the paper, we derive a sensitivity result for a nonlinear fractional ordinary elliptic system on a bounded interval with Dirichlet boundary conditions. More precisely, using a g…
A bipolynomial fractional Dirichlet-Laplace problem
Dariusz Idczak
In the paper, we derive an existence result for a nonlinear nonautonomous partial elliptic system on an open bounded domain with Dirichlet boundary conditions, containg fractional…
Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems
Loïc Bourdin, Dariusz Idczak
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second resu…
On some strengthening of the global implicit function theorem with an application to a Cauchy problem for an integro-differential Volterra system
Dariusz Idczak
In the paper, we improve our earlier results concerning the existence, uniqueness and differentiability of a global implicit function. Some application to a Cauchy problem for an i…