Malaysian Journal of Mathematical Sciences, October 2014, Vol. 8(S)
Special Issue: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013)
Fractional Order Functional Integro-Differential Equation in Banach Algebras
B. D. Karande
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper, we prove the existence of a locally attractive solution for the fractional-order functional integro-differential equation in Banach Algebras are proved under mixed generalized Lipschitz, Caratheodory and monotonicity conditions. By using a fixed point theorem for multi-valued maps due to Dhage, the main existence theorem is established.
Keywords: Banach algebra, functional integro-differential equation, existence result
