TY - JOUR
T1 - Existence results for nonlinear implicit neutral fractional integrodifferential equations with nonlocal condition
AU - Rajendran, Mabel Lizzy
AU - Bagavathiperumal, Kamalapriya
AU - Krishnan, Balachandran
AU - Natarajan, Annapoorani
PY - 2020
Y1 - 2020
N2 - The aim of this paper is to establish the existence results for nonlinear fractional differen tial equations with implicit, neutral and integrodifferential term, and with nonlocal initial conditions by using fixed point technique. The solution representations to the corresponding linear equations are obtained in terms of resolvent operators. Under appropriate conditions on the nonlinear func tions, we prove the existence and uniqueness of solutions to the nonlinear abstract equations.
AB - The aim of this paper is to establish the existence results for nonlinear fractional differen tial equations with implicit, neutral and integrodifferential term, and with nonlocal initial conditions by using fixed point technique. The solution representations to the corresponding linear equations are obtained in terms of resolvent operators. Under appropriate conditions on the nonlinear func tions, we prove the existence and uniqueness of solutions to the nonlinear abstract equations.
M3 - Article
SN - 0973-4317
JO - Indian Journal of Industrial and Applied Mathematics
JF - Indian Journal of Industrial and Applied Mathematics
ER -