Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order

Ti-Jun Xiao,Zhi-Wei Lv,Jin Liang

doi:10.1016/j.camwa.2011.04.027

Solutions to the Cauchy problem for differential equations in Banach spaces with fractional order

Ti-Jun Xiao, Zhi-Wei Lv + Show 1 more

Open Access

https://doi.org/10.1016/j.camwa.2011.04.027

Copy DOI

Journal: Computers and Mathematics with Applications	Publication Date: May 6, 2011
Citations: 30	License type: elsevier-specific: oa user license

Affiliation: Fudan University, Anyang Institute of Technology, Shanghai Jiao Tong University

#Cauchy Problem For Differential Equations #Differential Equations In Banach Spaces + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

In this paper, we use the monotone iterative technique combined with cone theory to investigate the existence of solutions to the Cauchy problem for Caputo fractional differential equations in Banach spaces. New existence theorems are obtained for the case of a cone P being normal and fully regular respectively. Moreover, two examples are given to illustrate the abstract results.

Full Text