Journal
NONLINEAR DYNAMICS
Volume 69, Issue 3, Pages 977-982Publisher
SPRINGER
DOI: 10.1007/s11071-011-0319-5
Keywords
Fractional integral; Fractional derivative; Fractional calculus of variations; Lipschitz spaces
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This paper presents the necessary and sufficient optimality conditions for the Euler-Lagrange fractional equations of fractional variational problems with determining in which spaces the functional must exist where the functional contains right and left fractional derivatives in the Riemann-Liouville sense and the upper bound of integration less than the upper bound of the interval of the fractional derivative. In order to illustrate our results, one example is presented.
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