Hamza Tabti, Mohammed Belmekki
abstract:
In this paper, we study the existence of two or three positive solutions of a
class of boundary value problems of nonlinear fractional differential equations
with integral boundary conditions. To state our results, we use the
functional-type cone expansion-compression fixed point theorem and the
Leggett-Williams fixed point theorem, respectively. In addition, we show the
effectiveness of the main result by using some examples.
Mathematics Subject Classification: 26A33, 34B18
Key words and phrases: Fractional differential equation, integral boundary conditions, positive solutions, Green's function, Leggett-Williams fixed point theorem