Idczak, Dariusz2021-08-272021-08-272021-07-12Idczak, D. (2021). Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator. <i>Electronic Journal of Differential Equations, 2021</i>(64), pp. 1-19.1072-6691https://hdl.handle.net/10877/14474In this article, we derive a sensitivity result for a nonlinear fractional ordinary elliptic system on a bounded interval with Dirichlet boundary conditions. More precisely, using a global implicit function theorem, we show that for each functional parameter there exists a unique solution, and that its dependence on the functional parameters is continuously differentiable.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalFractional Dirichlet-Laplace operatorPalais-Smale conditionStone-von Neumann operator calculusGlobal implicit function theoremArticle