Conditional Optimization Problems: Fractional Order Case

被引：0
|
作者：
Abolhassan Razminia
Dumitru Baleanu
Vahid Johari Majd
机构：
[1] Persian Gulf University,Electrical Engineering Department, School of Engineering
[2] Cankaya University,Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences
[3] King Abdulaziz University,Department of Chemical and Materials Engineering, Faculty of Engineering
[4] Institute of Space Sciences,Department of Electrical and Computer Engineering
[5] Tarbiat Modares University,undefined
来源：
Journal of Optimization Theory and Applications | 2013年 / 156卷
关键词：
Fractional calculus; Constrained optimization problem; Constrained optimization problem; Calculus of variations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：45 / 55
页数：10
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