Fractional Spaces Generated by the Positive Differential Operator in the Half-line R^+ and their Applications

Subject Numerical functional analysis and applications
Title Fractional Spaces Generated by the Positive Differential Operator in the Half-line R^+ and their Applications
Author(s) Allaberen Ashyralyeva, and Sema Akturk
Keywords Fractional spaces, positive operators, Green’s function
Abstract In this study, we consider a differential operator A^x=(-1)^m a(x) d^2m/(dx^2m )+δI acting in the space of all continuous functions defined on the half-line R^+=[0,∞) . Here, δ>0 is the sufficiently large number and a(x) is a continuous function defined on R⁺ with 0