Kybernetika 59 no. 5, 700-722, 2023

Duality for a fractional variational formulation using $\eta$-approximated method

Sony Khatri and Ashish Kumar PrasadDOI: 10.14736/kyb-2023-5-0700

Abstract:

The present article explores the way $\eta$-approximated method is applied to substantiate duality results for the fractional variational problems under invexity. $\eta$-approximated dual pair is engineered and a careful study of the original dual pair has been done to establish the duality results for original problems. Moreover, an appropriate example is constructed based on which we can validate the established dual statements. The paper includes several recent results as special cases.

Keywords:

duality, optimal solution, variational problem

Classification:

49J40, 49N15, 90C46, 90C32

paper.pdf

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