This paper is devoted to the study of existence of solutions for two point boundary value problems (P1) for fractional differential equations of arbitrary order q ≥ 2, by applying upper and lower solutions method together with Schauder’s ﬁxed point Theorem. First, we transform the posed problem to an ordinary ﬁrst order initial value problem, that we modify to prove the existence of solutions for the problem (P1), moreover we give the explicit expression of the upper and lower solutions of problem (P1). The obtained results are illustrated by some examples
Digital Object Identifier (DOI)
Khaldi, Rabah and Guezane-Lakoud
"Upper and Lower Solutions Method for Higher Order Boundary Value Problems,"
Progress in Fractional Differentiation & Applications: Vol. 3
, Article 5.
Available at: https://dc.naturalspublishing.com/pfda/vol3/iss1/5