Euler-Lagrange Equations for Fractional variational problems
| dc.contributor.advisor | Goa, Mengistu (PhD) | |
| dc.contributor.author | Hailu, Diriba | |
| dc.date.accessioned | 2018-07-13T05:49:11Z | |
| dc.date.accessioned | 2023-11-04T12:32:05Z | |
| dc.date.available | 2018-07-13T05:49:11Z | |
| dc.date.available | 2023-11-04T12:32:05Z | |
| dc.date.issued | 2017-09 | |
| dc.description.abstract | This thesis introduces three new operators and presents some of their properties. It defines a new class of variational problems in terms of these operators and derives Euler-Lagrange equations for this class of problems. It is demonstrated that the left and the right fractional Riemann-Liouville integrals, and the left and the right fractional Riemann-Liouville, Caputo, Riesz-Riemann-Liouville and Riesz-Caputo derivatives are special cases of these operators, and they are obtained by considering a special kernel. Further, the Euler-Lagrange equations developed for functional defined in terms of the left and the right fractional Riemann-Liouville, Caputo, Riesz- Riemann-Liouville and Riesz-Caputo derivatives are special cases of the Euler- Lagrange equations developed here. Examples are considered to demonstrate the applications of the new operators and the new Euler-Lagrange equations | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/8393 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | Euler-Lagrange Equations | en_US |
| dc.title | Euler-Lagrange Equations for Fractional variational problems | en_US |
| dc.type | Thesis | en_US |