Weighted Cauchy-type problem of a functional differ-integral equation
In this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of its solution.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2007-12-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=288 |
| _version_ | 1797830792630501376 |
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| author | Ahmed El-Sayed Sheren Ahmed Abd El-Salam |
| author_facet | Ahmed El-Sayed Sheren Ahmed Abd El-Salam |
| author_sort | Ahmed El-Sayed |
| collection | DOAJ |
| description | In this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of its solution. |
| first_indexed | 2024-04-09T13:41:47Z |
| format | Article |
| id | doaj.art-9175100ee2e74c45b51717d3f3bcba97 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:41:47Z |
| publishDate | 2007-12-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-9175100ee2e74c45b51717d3f3bcba972023-05-09T07:52:58ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752007-12-012007301910.14232/ejqtde.2007.1.30288Weighted Cauchy-type problem of a functional differ-integral equationAhmed El-Sayed0Sheren Ahmed Abd El-Salam1Faculty of Science, Alexandria University, Alexandria, EgyptAlexandria University, Alexandria, EgyptIn this work, we are concerned with a nonlinear weighted Cauchy type problem of a differ-integral equation of fractional order. We will prove some local and global existence theorems for this problem, also we will study the uniqueness and stability of its solution.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=288 |
| spellingShingle | Ahmed El-Sayed Sheren Ahmed Abd El-Salam Weighted Cauchy-type problem of a functional differ-integral equation Electronic Journal of Qualitative Theory of Differential Equations |
| title | Weighted Cauchy-type problem of a functional differ-integral equation |
| title_full | Weighted Cauchy-type problem of a functional differ-integral equation |
| title_fullStr | Weighted Cauchy-type problem of a functional differ-integral equation |
| title_full_unstemmed | Weighted Cauchy-type problem of a functional differ-integral equation |
| title_short | Weighted Cauchy-type problem of a functional differ-integral equation |
| title_sort | weighted cauchy type problem of a functional differ integral equation |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=288 |
| work_keys_str_mv | AT ahmedelsayed weightedcauchytypeproblemofafunctionaldifferintegralequation AT sherenahmedabdelsalam weightedcauchytypeproblemofafunctionaldifferintegralequation |