Optimal conditions and duality results for a semi-infinite variational programming problem and its Mond–Weir dual involving Caputo–Fabrizio fractional derivatives

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-03-14 DOI:10.1016/j.cam.2025.116628

Anurag Jayswal, Gaurav Uniyal

引用次数: 0

Abstract

In this paper, we deal with a Semi-infinite variational programming (SIVP) problem involving Caputo–Fabrizio (CF) fractional derivative operator. By using Slater’s constraint qualification (SCQ) and some generalized convexity assumptions, we first establish KKT necessary and sufficient optimality conditions for SIVP problem. Later, we study the Mond–Weir type dual model and discuss several duality theorems. Additionally, some numerical examples have been given to support theoretical results.

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本文讨论了一个涉及卡普托-法布里齐奥（Caputo-Fabrizio，CF）分数导数算子的半无限变分编程（SIVP）问题。通过使用斯莱特约束条件（SCQ）和一些广义凸性假设，我们首先建立了 SIVP 问题的 KKT 必要和充分最优条件。随后，我们研究了蒙德-韦尔型对偶模型，并讨论了几个对偶定理。此外，我们还给出了一些数值示例来支持理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.