Existence and controllability for nondensely defined partial neutral functional differential inclusions

Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions

Existence Results for Impulsive Partial Neutral Functional Differential Inclusions

In this paper we prove existence results for first order semilinear impulsive neutral functional differential inclusions under the mixed Lipschitz and Carathéodory conditions.

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

Existence and Controllability Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

Existence Results for Non-densely Defined Impulsive Neutral Functional Differential Inclusions with State-dependent Delay

V. Kavitha,M. Mallika Arjunan ∗ C. Ravichandran 1 Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore-641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India Department of Mathematics, Karunya University, Karunya Nagar,Coimbatore641 114, Tamil Nadu, India (Received 27 Sepember 2011 , accepted 17 April 2012)