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