Existence and Compactness Results for a System of Fractional Differential Equations
The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operat...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5735140 |
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| _version_ | 1832546959932522496 |
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| author | Cheikh Guendouz Jamal Eddine Lazreg Juan J. Nieto Abdelghani Ouahab |
| author_facet | Cheikh Guendouz Jamal Eddine Lazreg Juan J. Nieto Abdelghani Ouahab |
| author_sort | Cheikh Guendouz |
| collection | DOAJ |
| description | The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions. |
| format | Article |
| id | doaj-art-91b196d3b225443289852007838e47f1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-91b196d3b225443289852007838e47f12025-02-03T06:46:32ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/57351405735140Existence and Compactness Results for a System of Fractional Differential EquationsCheikh Guendouz0Jamal Eddine Lazreg1Juan J. Nieto2Abdelghani Ouahab3Laboratory of Mathematics, Sidi-Bel-Abbès University, 89, 22000 Sidi-Bel-Abbès, AlgeriaLaboratory of Mathematics, Sidi-Bel-Abbès University, 89, 22000 Sidi-Bel-Abbès, AlgeriaDepartamento de Estatística, Análisis Matemático e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, SpainLaboratory of Mathematics, Sidi-Bel-Abbès University, 89, 22000 Sidi-Bel-Abbès, AlgeriaThe existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions.http://dx.doi.org/10.1155/2020/5735140 |
| spellingShingle | Cheikh Guendouz Jamal Eddine Lazreg Juan J. Nieto Abdelghani Ouahab Existence and Compactness Results for a System of Fractional Differential Equations Journal of Function Spaces |
| title | Existence and Compactness Results for a System of Fractional Differential Equations |
| title_full | Existence and Compactness Results for a System of Fractional Differential Equations |
| title_fullStr | Existence and Compactness Results for a System of Fractional Differential Equations |
| title_full_unstemmed | Existence and Compactness Results for a System of Fractional Differential Equations |
| title_short | Existence and Compactness Results for a System of Fractional Differential Equations |
| title_sort | existence and compactness results for a system of fractional differential equations |
| url | http://dx.doi.org/10.1155/2020/5735140 |
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