Contributions aux équations aux dérivées fractionnaires conformables
| dc.contributor.author | Djiab, Somia | |
| dc.date.accessioned | 2022-07-04T10:42:05Z | |
| dc.date.available | 2022-07-04T10:42:05Z | |
| dc.date.issued | 2022-05 | |
| dc.description.abstract | n this thesis, we have studied four problems of three types of fractional differential equations with integral boundary conditions: ✓ At first, their solutions are presented in form of nonlinear integral equations by using the Green function, which her properties are analyzed to determine the appropriate way to solve the proposed problems. ✓ Secondly, we proved the positivity, existence and uniqueness of solutions to the proposed problems by using some fixed theorems. ✓ Next, we give a new results concerning the stability of fractional equations in Ulam-Hyres sense to prove the stability of solutions for proposed problems. ✓ Finally, several examples are presented to confirm the effectiveness of some utilized theorems. | en_US |
| dc.identifier.uri | http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/29977 | |
| dc.publisher | Université de M'sila | en_US |
| dc.subject | Fractional differential equations, Integral boundary conditions, Fixed point theorems, Ulam-Hyers stability | en_US |
| dc.title | Contributions aux équations aux dérivées fractionnaires conformables | en_US |
| dc.type | Thesis | en_US |