Fractional Differential and Integral Inequalities with Applications

reportActive / Technical Report | Accession Number: AD1006844 | Open PDF

Abstract:

The monotone method extended to such systems is called the generalized monotone method. Here the generalized monotone method has been extended to the Caputo fractional differential equation of order q where 0q1 withan initial condition as well as the existence of coupled minimal and maximal solutions for such an equation and a numerical example is provided as an application of the theoretical results.

Author(s):
Stutson, Donna ; Vatsala, A. S.
Author Organization(s):
Xavier University of Louisiana New Orleans United States
Descriptive Note:
Technical Report,01 Jun 2011,31 Aug 2014
Supplementary Note:
DOI: 10.21236/AD1006844
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release;

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
57873-MA-H.11
Monitor Series:
57873-MA-H.11
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating; JCA_1.4_Force Support; JCA_4.6_Engineering; JCA_5_Command and Control; JCA_6_Net Centric; JCA_5.3_Planning; JCA_8_Building Partnerships
Communities of Interest:
Human Systems
Descriptor(s):
differential equations, numerical analysis, eigenvectors solutions(general)
Keyword(s):
Caputo Derivative, Caputo Partial Differential Equations, Eigenfunctions, Upper and Lower Solutions, Generalized MonotoneMethod
Report Date:
2016 Feb 14
Creation Date:
2016 Jul 01