TY - JOUR
T1 - Solution set for fractional differential equations with Riemann-Liouville derivative
AU - Chalco-Cano, Yurilev
AU - Nieto, Juan J.
AU - Ouahab, Abdelghani
AU - Román-Flores, Heriberto
PY - 2013/9
Y1 - 2013/9
N2 - We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces. We extend the classical Kneser's theorem on the structure solution set for ordinary differential equations.
AB - We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces. We extend the classical Kneser's theorem on the structure solution set for ordinary differential equations.
KW - Kneser's theorem
KW - acyclic set
KW - fractional derivative
KW - fractional differential equations
KW - fractional integral
UR - https://www.scopus.com/pages/publications/84879778444
U2 - 10.2478/s13540-013-0043-6
DO - 10.2478/s13540-013-0043-6
M3 - Article
AN - SCOPUS:84879778444
SN - 1311-0454
VL - 16
SP - 682
EP - 694
JO - Fractional Calculus and Applied Analysis
JF - Fractional Calculus and Applied Analysis
IS - 3
ER -