Attainability to Solve Fractional Differential Inclusion on the Half Line at Resonance

The presented article is deduced about the positive solutions of the fractional differential inclusion at resonance on the half line. The fractional derivative used is in the sense of Riemann-Liouville and the problem is supplemented by unseparated conditions. The existence results are illustrated in view of Leggett-Williams theorem due to O'Regan and Zima on unbounded domain.