Duality for a fractional variational formulation using η -approximated method

Sony Khatri; Ashish Kumar Prasad

Kybernetika (2023)

  • Volume: 59, Issue: 5, page 700-722
  • ISSN: 0023-5954

Abstract

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The present article explores the way η -approximated method is applied to substantiate duality results for the fractional variational problems under invexity. η -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.

How to cite

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Khatri, Sony, and Prasad, Ashish Kumar. "Duality for a fractional variational formulation using $\eta $-approximated method." Kybernetika 59.5 (2023): 700-722. <http://eudml.org/doc/299160>.

@article{Khatri2023,
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.},
author = {Khatri, Sony, Prasad, Ashish Kumar},
journal = {Kybernetika},
keywords = {duality; variational problem; optimal solution},
language = {eng},
number = {5},
pages = {700-722},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Duality for a fractional variational formulation using $\eta $-approximated method},
url = {http://eudml.org/doc/299160},
volume = {59},
year = {2023},
}

TY - JOUR
AU - Khatri, Sony
AU - Prasad, Ashish Kumar
TI - Duality for a fractional variational formulation using $\eta $-approximated method
JO - Kybernetika
PY - 2023
PB - Institute of Information Theory and Automation AS CR
VL - 59
IS - 5
SP - 700
EP - 722
AB - 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.
LA - eng
KW - duality; variational problem; optimal solution
UR - http://eudml.org/doc/299160
ER -

References

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