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Continuous-time generalized fractional programming

C. J. Zalmai

Open publisher page 5 citations

Abstract

Both parametric and parameter-free necessary and sufficient optimality conditions and several duality models are presented for a class of continuous-time generalized fractional programming problems. These results improve and extend a number of existing results in the area of continuous-time programming and, furthermore, provide continuous-time analogues of various cognate results previously established for certain categories of finite-dimensional generalized fractional, fractional, discrete minmax, and conventional nonlinear programming problems.

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What this paper is about

Both parametric and parameter-free necessary and sufficient optimality conditions and several duality models are presented for a class of continuous-time generalized fractional programming problems. These results improve and extend a number of existing results in the area of continuous-time programming and, furthermore, provide continuous-time analogues of various cognate results previously established for certain categories of finite-dimensional generalized fractional, fractional, discrete minmax, and conventional nonlinear programming problems.

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Available abstract

Both parametric and parameter-free necessary and sufficient optimality conditions and several duality models are presented for a class of continuous-time generalized fractional programming problems. These results improve and extend a number of existing results in the area of continuous-time programming and, furthermore, provide continuous-time analogues of various cognate results previously established for certain categories of finite-dimensional generalized fractional, fractional, discrete minmax, and conventional nonlinear programming problems.

Key concepts: Mathematics, Fractional programming, Applied mathematics, Mathematical optimization, Calculus (dental), Nonlinear programming, Nonlinear system, Physics

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