Solvability of initial value problems with fractional order differential equations in banach spaces by α-dense curves-Reference-Cited by-同舟云学术

Solvability of initial value problems with fractional order differential equations in banach spaces by α-dense curves

Published:2017-06-01 Issue:3 Volume:20 Page:646-661
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

García Gonzalo¹

Affiliation:

1. Universidad Nacional de Educación a Distancia (UNED) , C/ Candalix S/N, 03202 Elche , Alicante , Spain

Abstract

Abstract In this paper we study the existence of solutions for an initial value problem, posed in a given Banach space, with a fractional differential equation via densifiability techniques. For our goal, we will prove a new fixed point result (not based on measures of noncompactness) which is, in forms, a generalization of the well-known Darbo’s fixed point theorem but essentially different. Some illustrative examples are given.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2017-0034/pdf

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