Existence and Uniqueness of Mild and Strong Solutions of Nonlinear Volterra Integrodifferential Equations in Banach Spaces

Strong and mild solutions of the system of fractional ordinary differential equation and it's applications

“…Zufeng Zhang, Bin Liu established sufficient conditions for the existence of mild solution of fractional differential evolution equation by using Banach fixed point theorem [14]. H.L.Tidke, M.B.Dhakne prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra-integro differential equations with non-local condition, and analysis is based on semigroup theory and Banach fixed point theorem [1,3]. Adel Jawahdow is concerned with the existence of mild solutions for fractional semilinear differential equations with non-local conditions in separable Banach space and furthermore the result is obtained using the technique of measures of non-compactness in Banach space of continuous functions and Schauder fixed point theorem [1].…”