Existence results for non-autonomous neutral integro-differential systems with impulsive and nonlocal conditions

M. Abinaya a,∗ and V. Mohana b

Existence results for non-autonomous neutral integro-differential systems with impulsive and nonlocal conditions

Authors :

M. Abinaya^a,∗ and V. Mohana^b

Author Address :

^aDepartment of Mathematics, Sri Nehru Maha Vidyalaya College of Arts & Science, Coimbatore - 641021, Tamil Nadu, India.
^b Department of Science and Humanities (Mathematics), M. Kumarasamy College of Engineering, Karur-639113, Tamil Nadu, India.

*Corresponding author.

Abstract :

In accordance with semigroup theory, fractional powers of operators, approximation techniques and Banach contraction principle fixed point theorem, this manuscript is primarily involved with the existence results for an impulsive non-autonomous neutral integro-differential systems with nonlocal conditions in Banach space $\E$.

Keywords :

Integro-differential equations, Semigroup theory, Impulsive and nonlocal conditions, Evolution equations, Fixed point theorem.

DOI :

Article Info :

Received : August 10, 2016; Accepted : November 16, 2016.