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Abstract
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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.
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