Power-type estimates for a nonlinear fractional differential equation

Khaled M. Furati; Nasser Eddine Tatar

doi:10.1016/j.na.2005.04.010

Power-type estimates for a nonlinear fractional differential equation

Khaled M. Furati
, Nasser Eddine Tatar^*

^*Corresponding author for this work

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

55 Scopus citations

Abstract

In this work, we are concerned with a family of nonlinear ordinary differential equations of fractional order. It is proved that solutions of these equations with weighted initial data exist globally and decay as a power function.

Original language	English
Pages (from-to)	1025-1036
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	62
Issue number	6
DOIs	https://doi.org/10.1016/j.na.2005.04.010
State	Published - 1 Sep 2005

Bibliographical note

Funding Information:
The authors would like to thank the referee for his/her valuable comments and suggestions which improved the original version of this work. The authors are also very grateful for the financial support and facilities provided by King Fahd University of Petroleum and Minerals.

Keywords

Asymptotic behavior
Fractional derivative
Riemann-Liouville integral
Singular kernel
Weighted Cauchy-type problem

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1016/j.na.2005.04.010

Cite this

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title = "Power-type estimates for a nonlinear fractional differential equation",

abstract = "In this work, we are concerned with a family of nonlinear ordinary differential equations of fractional order. It is proved that solutions of these equations with weighted initial data exist globally and decay as a power function.",

keywords = "Asymptotic behavior, Fractional derivative, Riemann-Liouville integral, Singular kernel, Weighted Cauchy-type problem",

author = "Furati, \{Khaled M.\} and Tatar, \{Nasser Eddine\}",

note = "Funding Information: The authors would like to thank the referee for his/her valuable comments and suggestions which improved the original version of this work. The authors are also very grateful for the financial support and facilities provided by King Fahd University of Petroleum and Minerals. ",

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T1 - Power-type estimates for a nonlinear fractional differential equation

AU - Furati, Khaled M.

AU - Tatar, Nasser Eddine

N1 - Funding Information: The authors would like to thank the referee for his/her valuable comments and suggestions which improved the original version of this work. The authors are also very grateful for the financial support and facilities provided by King Fahd University of Petroleum and Minerals.

PY - 2005/9/1

Y1 - 2005/9/1

N2 - In this work, we are concerned with a family of nonlinear ordinary differential equations of fractional order. It is proved that solutions of these equations with weighted initial data exist globally and decay as a power function.

AB - In this work, we are concerned with a family of nonlinear ordinary differential equations of fractional order. It is proved that solutions of these equations with weighted initial data exist globally and decay as a power function.

KW - Asymptotic behavior

KW - Fractional derivative

KW - Riemann-Liouville integral

KW - Singular kernel

KW - Weighted Cauchy-type problem

UR - https://www.scopus.com/pages/publications/21344468657

U2 - 10.1016/j.na.2005.04.010

DO - 10.1016/j.na.2005.04.010

M3 - Article

AN - SCOPUS:21344468657

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VL - 62

SP - 1025

EP - 1036

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 6

ER -

Power-type estimates for a nonlinear fractional differential equation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this