Fractional Variational Principles With Delay Within Caputo Derivatives

Jarad, FahdAbdeljawad (Maraaba), ThabetBaleanu, Dumitru2016-06-162025-09-182016-06-162025-09-182010Jarad, F., Abdeljawad, T., Baleanu, D. (2010). Fractional variational principles with delay within caputo derivatives. Reports On Mathematical Physics , 65(1), 17-28.0034-48771879-0674https://doi.org/10.1016/S0034-4877(10)00010-8https://hdl.handle.net/20.500.12416/10973Jarad, Fahd/0000-0002-3303-0623; Abdeljawad, Thabet/0000-0002-8889-3768In this paper we investigate the fractional variational principles within Caputo derivatives in the presence of delay derivatives. The corresponding Euler-Lagrange equations are obtained for the case of one dependent variable. A generalization to it dependent variables is obtained. Physical example is analyzed in detail.eninfo:eu-repo/semantics/closedAccessFractional Variational PrinciplesFractional DerivativesDelayFractional Variational Principles With Delay Within Caputo DerivativesFractional variational principles with delay within caputo derivativesArticle10.1016/S0034-4877(10)00010-82-s2.0-77953523710