1Department of MathematicsBharathiar University, Coimbatore - 641 046, India
2Technical University of Munich, Garching85748, Germany
*E-mail: *kamalapriya.b@gmail.com
The aim of this paper is to establish the existence results for nonlinear fractional differential 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 functions, we prove the existence and uniqueness of solutions to the nonlinear abstract equations.
2020 Mathematics Subject Classifications: 34A08, 34A09, 47A10, 47H10.
Fractional integrodifferential equations, Implicit derivative, Resolvent operator, Nonlocal condition, Fixed point theory
