Abstract
The objective of this work is to analyze some criteria of the existence of positive solutions for a fractional configuration of the semilinear differential equation equipped with the Riemann‐Liouville operator. To achieve our aim, we first introduce an operator and transform our main problems into equivalent fixed point problems. After that, based on the fixed point theorem attributed to Krasnoselskii and the nonlinear alternative of Leray‐Schauder in a cone, we prove our main results of existence of solutions to our problems in a well‐defined Banach spaces. With the help of illustrative examples at the end of the study, we validate our theoretical outcomes according to the method implemented in theorems.
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