Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 64, pp. 1-19.

Title: Sensitivity of a nonlinear ordinary BVP with fractional Dirichlet-Laplace operator
       
Author: Dariusz Idczak (Univ. of Lodz, Poland)

Abstract:
 In 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.

Submitted July 19, 2020. Published July 12, 2021.
Math Subject Classifications: 34B15, 34A08, 34B08, 34L05.
Key Words: Fractional Dirichlet-Laplace operator; Palais-Smale condition; 
           Stone-von Neumann operator calculus; global implicit function theorem.