Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem

We study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. Based on the analysis for the existence and uniqueness of the solution and...

Full description

Saved in:
Bibliographic Details
Main Authors: Hao Tao, Meichen Fu, Ru Qian
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/842358
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832562453976711168
author Hao Tao
Meichen Fu
Ru Qian
author_facet Hao Tao
Meichen Fu
Ru Qian
author_sort Hao Tao
collection DOAJ
description We study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. Based on the analysis for the existence and uniqueness of the solution and scientific numerical calculation of the solution, in further study, some optimization schemes for traditional risk control process will be obtained, and then the main results of this paper can be applied to the forefront of research of real estate asset securitization.
format Article
id doaj-art-29e407d781cd4b66ac7ee4841bdbe0f8
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-29e407d781cd4b66ac7ee4841bdbe0f82025-02-03T01:22:37ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/842358842358Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point TheoremHao Tao0Meichen Fu1Ru Qian2School of Land Science and Technology, China University of Geosciences, Beijing 100083, ChinaSchool of Land Science and Technology, China University of Geosciences, Beijing 100083, ChinaSchool of Land Science and Technology, China University of Geosciences, Beijing 100083, ChinaWe study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. Based on the analysis for the existence and uniqueness of the solution and scientific numerical calculation of the solution, in further study, some optimization schemes for traditional risk control process will be obtained, and then the main results of this paper can be applied to the forefront of research of real estate asset securitization.http://dx.doi.org/10.1155/2012/842358
spellingShingle Hao Tao
Meichen Fu
Ru Qian
Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
Abstract and Applied Analysis
title Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
title_full Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
title_fullStr Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
title_full_unstemmed Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
title_short Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem
title_sort positive solutions for fractional differential equations from real estate asset securitization via new fixed point theorem
url http://dx.doi.org/10.1155/2012/842358
work_keys_str_mv AT haotao positivesolutionsforfractionaldifferentialequationsfromrealestateassetsecuritizationvianewfixedpointtheorem
AT meichenfu positivesolutionsforfractionaldifferentialequationsfromrealestateassetsecuritizationvianewfixedpointtheorem
AT ruqian positivesolutionsforfractionaldifferentialequationsfromrealestateassetsecuritizationvianewfixedpointtheorem