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Variational calculus involving nonlocal fractional derivative with Mittag–Leffler kernel

Author

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  • Chatibi, Y.
  • El Kinani, E.H.
  • Ouhadan, A.

Abstract

In this work, we proved the necessary optimality conditions of Euler–Lagrange type of variational problems in which variational functional depends on Atangana–Baleanu derivative. The obtained results are illustrated by some examples.

Suggested Citation

  • Chatibi, Y. & El Kinani, E.H. & Ouhadan, A., 2019. "Variational calculus involving nonlocal fractional derivative with Mittag–Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 117-121.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:117-121
    DOI: 10.1016/j.chaos.2018.11.017
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    References listed on IDEAS

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    1. Atangana, Abdon, 2018. "Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 688-706.
    2. Atangana, Abdon & Gómez-Aguilar, J.F., 2018. "Fractional derivatives with no-index law property: Application to chaos and statistics," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 516-535.
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    Cited by:

    1. Uddin, Md. Jasim & Rana, Sarker Md. Sohel & Işık, Seval & Kangalgil, Figen, 2023. "On the qualitative study of a discrete fractional order prey–predator model with the effects of harvesting on predator population," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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