New fixed point theorems via measure of noncompactness and its application on fractional integral equation involving an operator with iterative relations

Abstract

Abstract In this paper, Darbo’s fixed point theorem is generalized and it is applied to find the existence of solution of a fractional integral equation involving an operator with iterative relations in a Banach space. Moreover, an example is provided to illustrate the results.

Keywords

• Fixed point
• Measure of noncompactness (MNC)
• Fractional integral equation (FIE)