journal-of-dynamical-systems-and-geometric-theories Journal of Dynamical Systems and Geometric Theories 2169-0057 1726-037X Taru Publications 10.1080/1726037X.2017.1327162 Upper and lower solutions method for higher order fractional initial value problems Guezane-Lakoud Assia LABORATORY OF ADVANCED MATERIALS, BADJI MOKHTAR-ANNABA UNIVERSITY, DEPARTMENT OF MATHEMATICS, ANNABA, P.O. BOX 12, 23000, ALGERIA Khaldi Rabah LABORATORY OF ADVANCED MATERIALS, BADJI MOKHTAR-ANNABA UNIVERSITY, DEPARTMENT OF MATHEMATICS, ANNABA, P.O. BOX 12, 23000, ALGERIA 15 1 29 35 12 06 2017

This paper concerns the existence of solution to an initial fractional problem of arbitrary order. The main tools for this study are the lower ad upper solutions method and Schauder’s fixed point Theorem.

 Initial value problemFractional derivativeUpper and lower solutions methodExistence of solution access open retracted no