Conditional Optimization Problems: Fractional Order Case

Abolhassan Razminia (), Dumitru Baleanu () and Vahid Johari Majd ()
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Abolhassan Razminia: Persian Gulf University
Dumitru Baleanu: Cankaya University
Vahid Johari Majd: Tarbiat Modares University

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 1, No 5, 45-55

Abstract: Abstract In this manuscript, we introduce a new formulation for the constrained optimization problems in which the objective function is considered in the fractional integral form. The constraints are applied in two separate cases, namely, fractional differential and fractional isoperimetric constraints. In both cases, by using the extended Euler–Lagrange equations and the Lagrange multiplier method, the necessary conditions are obtained. An example is given in order to illustrate the effectiveness of the reported results.

Keywords: Fractional calculus; Constrained optimization problem; Constrained optimization problem; Calculus of variations (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-0211-6

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