Long time behavior for a nonlinear fractional model

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24 Scopus citations

Abstract

The asymptotic behavior for solutions of a weighted Cauchy-type nonlinear fractional problem is investigated. We find bounds for solutions on infinite time intervals and also provide sufficient conditions assuring decay to zero. This work improves earlier results by the same authors.

Original languageEnglish
Pages (from-to)441-454
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume332
Issue number1
DOIs
StatePublished - 1 Aug 2007

Bibliographical note

Funding Information:
The authors are very grateful for the financial support provided by King Fahd University of Petroleum and Minerals. Corresponding author. E-mail addresses: [email protected] (K.M. Furati), [email protected] (N.-e. Tatar).

Keywords

  • Fractional differential equation
  • Riemann-Liouville integral
  • Singular kernel
  • Weighted Cauchy-type problem

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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