Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β) | Zendy

ElNabulsi Rami Ahmad | Zendy; Torres Delfim F. M. | Zendy

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Necessary optimality conditions for fractional action‐like integrals of variational calculus with Riemann–Liouville derivatives of order (α, β)

Author(s) -

ElNabulsi Rami Ahmad,

Torres Delfim F. M.

Publication year - 2007

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.879

Subject(s) - mathematics , fractional calculus , action (physics) , calculus of variations , order (exchange) , type (biology) , euler–lagrange equation , euler's formula , calculus (dental) , mathematical analysis , pure mathematics , lagrangian , medicine , ecology , physics , dentistry , finance , quantum mechanics , economics , biology

We derive Euler–Lagrange‐type equations for fractional action‐like integrals of the calculus of variations which depend on the Riemann–Liouville derivatives of order (α, β), α>0, β>0, recently introduced by Cresson. Some interesting consequences are obtained and discussed. Copyright © 2007 John Wiley & Sons, Ltd.

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