Optimality conditions involving the Mittag–Leffler tempered fractional derivative
In this work we study problems of the calculus of the variations, where the differential operator is a generalization of the tempered fractional derivative. Different types of necessary conditions required to determine the optimal curves are proved. Problems with additional constraints are also stud...
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| Format: | article |
| Language: | eng |
| Published: |
2022
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| Online Access: | http://hdl.handle.net/10773/33054 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/33054 |
| Summary: | In this work we study problems of the calculus of the variations, where the differential operator is a generalization of the tempered fractional derivative. Different types of necessary conditions required to determine the optimal curves are proved. Problems with additional constraints are also studied. A numerical method is presented, based on discretization of the variational problem. Through several examples, we show the efficiency of the method. |
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