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<p>In this paper, we deal with a semi-infinite variational programming problem (SIVP) involving the Caputo-Fabrizio (CF) fractional derivative operator. Firstly, we formulate the Lagrange dual model for (SIVP) and then by using Slater’s constraint qualification (SCQ) and convexity assumption, we establish the weak and strong duality theorems between primal and dual problems. Later on, the saddle point criteria associated with the Lagrange functional of the corresponding (SIVP) is discussed. Moreover, some numerical examples have been given to support the theoretical results.</p>

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Lagrange duality and saddle point criteria for semi-infinite variational programming problem with Caputo-Fabrizio fractional derivative

  • 期刊论文

  • 发表日期：

    2025年4月14日

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  • Anurag Jayswal,
  • Gaurav Uniyal

摘要

In this paper, we deal with a semi-infinite variational programming problem (SIVP) involving the Caputo-Fabrizio (CF) fractional derivative operator. Firstly, we formulate the Lagrange dual model for (SIVP) and then by using Slater’s constraint qualification (SCQ) and convexity assumption, we establish the weak and strong duality theorems between primal and dual problems. Later on, the saddle point criteria associated with the Lagrange functional of the corresponding (SIVP) is discussed. Moreover, some numerical examples have been given to support the theoretical results.