Résumé:
In 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.