Monotone iterative technique for nonlocal fractional differential equations with finite delay in Banach space

Abstract

In this paper, we extend a monotone iterative technique for nonlocal fractional differential equations with finite delay in an ordered Banach space. By using the monotone iterative technique, theory of fractional calculus, semigroup theory and measure of noncompactness, we study the existence and uniqueness of extremal mild solutions. An example is presented to illustrate the main result.

Keywords

• fractional differential equations
• finite delay
• monotone iterative technique
• semigroup theory
• kuratowskii measure of noncompactness