Fractional variational problems on conformable calculus

Abstract

In this paper, we deal with the variational problems defined by an integral that include fractional conformable derivative. We obtained the optimality results for variational problems with fixed end-point boundary conditions and variable end-point boundary conditions. Then, we studied on the variational problems with integral constraints and holonomic constraints, respectively.

Keywords

• Conformable fractional derivative
• calculus of variations
• subsidiary conditions

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