Author/Authors :
Hallaci, Ahmed Depatement of Mathematics - Faculty of Sciences - University of Guelma, Guelma, Algeria , Boulares, Hamid Depatement of Mathematics - Faculty of Sciences - University of Guelma, Guelma, Algeria , Ardjouni, Abdelouaheb Department of Mathematics and Informatics - Faculty of Sciences and Technology - University of Souk Ahras, Souk Ahras, Algeria
Abstract :
Using the Krasnoselskii’s fixed point theorem in a weighted Banach space, we give sufficient
conditions for the existence of solutions for initial value problems for delay fractional differential equations
with the mixed Riemann-Liouville and Caputo fractional derivatives on an infinite interval. At the
end, an example is given to illustrate our main results
Keywords :
Mixed derivatives , Delay fractional differential equations , Existence , Fixed point theorems
