an:06321152
Zbl 1299.26008
Aissani, Khalida; Benchohra, Mouffak
Semilinear fractional order integro-differential equations with infinite delay in Banach spaces
EN
Arch. Math., Brno 49, No. 2, 105-117 (2013).
00334901
2013
j
26A33 34G20 34K30 34K37
semilinear differential equations; Caputo fractional derivative; mild solution; measure of noncompactness; fixed point; semigroup; Banach space
The authors establish a sufficient condition for the existence of a mild solution for a nonlinear fractional integro-differential equation with infinite time delay. The fractional derivative is considered in the sense of Caputo of order \(q\in (0,1)\). The argument is based on the fixed point theorem.
Roman ??imon Hilscher (Brno)