EXISTENCE OF POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEMS OF CAPUTO FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DELAY
Keywords:
Fractional differential equation, Caputo derivative, positive solutions, Green’s function, fixed point theorem on cone, time delaysAbstract
This article addresses a class of boundary value problems of time-delay involving Caputo fractional differential equations. Using the Guo-Krasnoselski’i theorem, we establish the existence and multiplicity results of positive solutions. To illustrate the applicability of our main theorems, we provide two examples that demonstrate the validity of the conditions.
