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

By Asadollah Aghajani, Ehsan Pourhadi, Juan Trujillo. Fractional Calculus and Applied Analysis, 2013

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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.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

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