Title
Conditional Optimization Problems: Fractional Order Case.
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.
Year
DOI
Venue
2013
10.1007/s10957-012-0211-6
J. Optimization Theory and Applications
Keywords
Field
DocType
Fractional calculus, Constrained optimization problem, Constrained optimization problem, Calculus of variations
Mathematical optimization,Integral form,Lagrange multiplier,Mathematical analysis,Calculus of variations,Fractional calculus,Constrained optimization problem,Isoperimetric inequality,Optimization problem,Fractional programming,Mathematics
Journal
Volume
Issue
ISSN
156
1
1573-2878
Citations 
PageRank 
References 
5
0.48
10
Authors
3
Name
Order
Citations
PageRank
Abolhassan Razminia1254.55
Dumitru Baleanu233878.57
Vahid Johari Majd315415.51