Existence of fractional order mixed type functional integro-differential equations with nonlocal conditions

Article Research, Dhanalakshmi, R Murugesu
2014 Int. J. Adv. Appl. Math. and Mech   unpublished
In this paper, we prove the existence of mild solutions for the semilinear fractional order functional of Volterra-Fredholm type differential equations with nonlocal conditions in a Banach space. The results are obtained by using the theory of fractional calculus, the analytic semigroup theory of linear operators and the fixed point techniques. MSC: 34K37 • 34A08 • 47H10