Optimality conditions for variational problems involving distributed-order fractional derivatives with arbitrary kernels
نویسندگان
چکیده
In this work we study necessary and sufficient optimality conditions for variational problems dealing with a new fractional derivative. This derivative combines two known operators: distributed-order derivatives arbitrary kernels. After proving integration by parts formula, obtain the Euler-Lagrange equation natural boundary fundamental problem. Also, integral holonomic constraints are considered. We end some examples to exemplify our results.
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ژورنال
عنوان ژورنال: AIMS mathematics
سال: 2021
ISSN: ['2473-6988']
DOI: https://doi.org/10.3934/math.2021315