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ArticleOriginal scientific text

Title

Existence and attractivity for fractional order integral equations in Fréchet spaces

Authors 1, 2

Affiliations

  1. Laboratoire de Mathématiques, Université de Saïda, B.P. 138, 20000, Saïda, Algérie
  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie

Abstract

In this paper, we present some results concerning the existence and the attractivity of solutions for some functional integral equations of Riemann-Liouville fractional order, by using an extension of the Burton-Kirk fixed point theorem in the case of a Fréchet space.

Keywords

ENG
functional integral equation, left-sided mixed Riemann-Liouville integral of fractional order, solution, attractivity, Fréchet space, fixed point

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Discussiones Mathematicae, Differential Inclusions, Control and Optimization
2013/33/1
Export to PBN, Opens in new tab
Pages:
47-63
Main language of publication
English
Received
2012-08-21
Published
2013

DOI: 10.7151/dmdico1141

Exact and natural sciences