Application of measure of noncompactness to a Cauchy problem for fractional differential equations

What is it about?

This paper is devoted to study the existence of solutions of a Cauchy type problem for a nonlinear fractional differential equation, via the techniques of measure of noncompactness. The investigation is based on a new fixed point result which is a generalization of the well known Darbo’s fixed point theorem. The main result is less restrictive than those given in the literature. Some illustrative examples are given.

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Why is it important?

Applying the measure of noncompactness to solvability of fractional differential equations