Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations
This paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-10-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1737 |
| _version_ | 1797830685725032448 |
|---|---|
| author | Said Abbas Mouffak Benchohra Juan Nieto |
| author_facet | Said Abbas Mouffak Benchohra Juan Nieto |
| author_sort | Said Abbas |
| collection | DOAJ |
| description | This paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem. |
| first_indexed | 2024-04-09T13:40:03Z |
| format | Article |
| id | doaj.art-fbbf65b4f5ea44698ba8bb6f8d7d177c |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:03Z |
| publishDate | 2012-10-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-fbbf65b4f5ea44698ba8bb6f8d7d177c2023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-10-0120128111510.14232/ejqtde.2012.1.811737Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equationsSaid Abbas0Mouffak Benchohra1Juan Nieto2University of Saida, Saida, AlgérieUniversité de Sidi Bel Abbés, Sidi Bel Abbés, AlgérieUniversidad de Santiago de Compostela, Santiago de Compostela, SpainThis paper deals with the existence and the attractivity of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using Schauder's fixed point theorem.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1737volterra-stieltjes quadratic integral equationleft-sided mixed riemann-liouville integral of fractional orderattractivitysolutionfixed point |
| spellingShingle | Said Abbas Mouffak Benchohra Juan Nieto Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations Electronic Journal of Qualitative Theory of Differential Equations volterra-stieltjes quadratic integral equation left-sided mixed riemann-liouville integral of fractional order attractivity solution fixed point |
| title | Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations |
| title_full | Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations |
| title_fullStr | Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations |
| title_full_unstemmed | Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations |
| title_short | Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations |
| title_sort | global attractivity of solutions for nonlinear fractional order riemann liouville volterra stieltjes partial integral equations |
| topic | volterra-stieltjes quadratic integral equation left-sided mixed riemann-liouville integral of fractional order attractivity solution fixed point |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1737 |
| work_keys_str_mv | AT saidabbas globalattractivityofsolutionsfornonlinearfractionalorderriemannliouvillevolterrastieltjespartialintegralequations AT mouffakbenchohra globalattractivityofsolutionsfornonlinearfractionalorderriemannliouvillevolterrastieltjespartialintegralequations AT juannieto globalattractivityofsolutionsfornonlinearfractionalorderriemannliouvillevolterrastieltjespartialintegralequations |