Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative-Reference-Cited by-同舟云学术

Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative

Published:2023-07 Issue:16 Volume:46 Page:17485-17510
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Rayanki Vivekananda¹²,Ahmad Izhar³⁴,Kummari Krishna¹^ORCID

Affiliation:

1. Department of Mathematics School of Science, GITAM‐Hyderabad Campus Hyderabad India

2. Department of Mathematics ACE Engineering College Hyderabad India

3. Department of Mathematics King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia

4. Center for Intelligent Secure Systems King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia

Abstract

This article focuses on a specific type of interval‐valued variational programming problem (IVVCF) involving the Caputo–Fabrizio fractional derivative. The notion of a LU optimal solution is discussed concerning problems of this type. The Karush–Kuhn–Tucker type necessary and sufficient optimality conditions are constructed for an (IVVCF) using the LU optimal concept. In addition to this, a Wolfe‐type dual model is developed for an (IVVCF) and discussed the required duality theorems.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9512

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