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Conditional Optimization Problems: Fractional Order Case

Author

Listed:
  • Abolhassan Razminia

    (Persian Gulf University)

  • Dumitru Baleanu

    (Cankaya University
    King Abdulaziz University
    Institute of Space Sciences)

  • Vahid Johari Majd

    (Tarbiat Modares University)

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.

Suggested Citation

  • Abolhassan Razminia & Dumitru Baleanu & Vahid Johari Majd, 2013. "Conditional Optimization Problems: Fractional Order Case," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 45-55, January.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:1:d:10.1007_s10957-012-0211-6
    DOI: 10.1007/s10957-012-0211-6
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    References listed on IDEAS

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    1. Chung, Chia-Shin & Flynn, James & Kirca, Omer, 2002. "A branch and bound algorithm to minimize the total flow time for m-machine permutation flowshop problems," International Journal of Production Economics, Elsevier, vol. 79(3), pages 185-196, October.
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    Cited by:

    1. Dumitru Baleanu & Amin Jajarmi & Mojtaba Hajipour, 2017. "A New Formulation of the Fractional Optimal Control Problems Involving Mittag–Leffler Nonsingular Kernel," Journal of Optimization Theory and Applications, Springer, vol. 175(3), pages 718-737, December.
    2. Yiheng Wei & Bin Du & Songsong Cheng & Yong Wang, 2017. "Fractional Order Systems Time-Optimal Control and Its Application," Journal of Optimization Theory and Applications, Springer, vol. 174(1), pages 122-138, July.
    3. Razminia, Kambiz & Razminia, Abolhassan & Baleanu, Dumitru, 2019. "Fractal-fractional modelling of partially penetrating wells," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 135-142.

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