Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations
We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/317094 |
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| author | Saïd Abbas Eman Alaidarous Mouffak Benchohra Juan J. Nieto |
| author_facet | Saïd Abbas Eman Alaidarous Mouffak Benchohra Juan J. Nieto |
| author_sort | Saïd Abbas |
| collection | DOAJ |
| description | We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability. |
| format | Article |
| id | doaj-art-8d574e3c63354b54b7b2be37291dd303 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-8d574e3c63354b54b7b2be37291dd3032025-02-03T01:12:59ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/317094317094Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral EquationsSaïd Abbas0Eman Alaidarous1Mouffak Benchohra2Juan J. Nieto3Laboratory of Mathematics, University of Saïda, P.O. Box 138, 20000 Saïda, AlgeriaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.http://dx.doi.org/10.1155/2015/317094 |
| spellingShingle | Saïd Abbas Eman Alaidarous Mouffak Benchohra Juan J. Nieto Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations Discrete Dynamics in Nature and Society |
| title | Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations |
| title_full | Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations |
| title_fullStr | Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations |
| title_full_unstemmed | Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations |
| title_short | Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations |
| title_sort | existence and stability of solutions for hadamard stieltjes fractional integral equations |
| url | http://dx.doi.org/10.1155/2015/317094 |
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