Yacine, Arioua,Maria, Titraoui2020-11-112020-11-112019http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/20313In this paper, we introduce a new class of boundary value problem for nonlinear fractional di erential equations involving the Erdélyi- -Kober di erential operator on an in nite interval. Existence and uniqueness results for a positive solution of the given problem are obtained by using the Banach contraction principle, the Leray-Schauder nonlinear alternative, and Guo-Krasnosel'skii xed point theorem in a special Banach space. To that end, some examples are presented to illustrate the usefulness of our main results.Article