Nonnegative solutions of fractional functional differential equations

Yao Lin Jiang; Xiao Li Ding

doi:10.1016/j.camwa.2011.11.055

Nonnegative solutions of fractional functional differential equations

Yao Lin Jiang
, Xiao Li Ding

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper, we discuss the existence and monotone iterative method of nonnegative solutions for fractional functional differential equations. The main conclusion is that the nonnegative solutions can be derived from the monotone iterative method, which starts off with a nonnegative upper solution or the zero function under different conditions. Our approach of obtaining nonnegative solutions is feasible for computational purposes.

Original language	English
Pages (from-to)	896-904
Number of pages	9
Journal	Computers and Mathematics with Applications
Volume	63
Issue number	5
DOIs	https://doi.org/10.1016/j.camwa.2011.11.055
State	Published - Mar 2012

Keywords

Fractional functional differential equations
Monotone iterative technique
Nonnegative solutions

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10.1016/j.camwa.2011.11.055

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title = "Nonnegative solutions of fractional functional differential equations",

abstract = "In this paper, we discuss the existence and monotone iterative method of nonnegative solutions for fractional functional differential equations. The main conclusion is that the nonnegative solutions can be derived from the monotone iterative method, which starts off with a nonnegative upper solution or the zero function under different conditions. Our approach of obtaining nonnegative solutions is feasible for computational purposes.",

keywords = "Fractional functional differential equations, Monotone iterative technique, Nonnegative solutions",

author = "Jiang, \{Yao Lin\} and Ding, \{Xiao Li\}",

year = "2012",

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T1 - Nonnegative solutions of fractional functional differential equations

AU - Jiang, Yao Lin

AU - Ding, Xiao Li

PY - 2012/3

Y1 - 2012/3

N2 - In this paper, we discuss the existence and monotone iterative method of nonnegative solutions for fractional functional differential equations. The main conclusion is that the nonnegative solutions can be derived from the monotone iterative method, which starts off with a nonnegative upper solution or the zero function under different conditions. Our approach of obtaining nonnegative solutions is feasible for computational purposes.

AB - In this paper, we discuss the existence and monotone iterative method of nonnegative solutions for fractional functional differential equations. The main conclusion is that the nonnegative solutions can be derived from the monotone iterative method, which starts off with a nonnegative upper solution or the zero function under different conditions. Our approach of obtaining nonnegative solutions is feasible for computational purposes.

KW - Fractional functional differential equations

KW - Monotone iterative technique

KW - Nonnegative solutions

UR - https://www.scopus.com/pages/publications/84865625720

U2 - 10.1016/j.camwa.2011.11.055

DO - 10.1016/j.camwa.2011.11.055

M3 - 文章

AN - SCOPUS:84865625720

SN - 0898-1221

VL - 63

SP - 896

EP - 904

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5

ER -

Nonnegative solutions of fractional functional differential equations

Abstract

Keywords

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