9 papers
Isoperimetric Problem and Weierstrass Necessary Condition for Fractional Calculus of Variations
Shakir Sh. Yusubov, Shikhi Sh. Yusubov, Elimhan N. Mahmudov
Summary]{In this paper, we study problems of minimization of a functional depending on the fractional Caputo derivative of order and the fractional Riemann- Liouville i…
The Weierstrass necessary condition for fractional calculus of variations
Shakir Sh. Yusubov, Shikhi Sh. Yusubov, Elimhan N. Mahmudov
In this paper, we study problems of minimization of a functional depending on the fractional Caputo derivative of order and the fractional Riemann- Liouville integral o…
The Euler-Lagrange and Legendre Necessary Conditions for Fractional Calculus of Variations
Shikhi Sh. Yusubov, Shakir Sh. Yusubov, Elimhan N. Mahmudov
In this paper, we study the problems of minimizing a functional depending on the Caputo fractional derivative of order and the Riemann- Liouville fractional integral o…
Optimization of the first mixed boundary value problem for parabolic differential inclusions in a three spatial dimension
Elimhan N. Mahmudov
The paper is devoted to the optimization of a first mixed boundary value problem for parabolic differential inclusions (DFIs) with Laplace operator. For this, a problem with a para…
Optimal control of differential inclusions with endpoint and state constraints and duality
Elimhan N. Mahmudov
The paper studies optimal control problem described by higher order evolution differential inclusions (DFIs) with endpoint and state constraints. In the term of Euler-Lagrange type…
Optimization of System of Nonlinear Second Order Differential Inequalities
Elimhan N. Mahmudov, S. Demir Saglam
This paper deals with the optimization of Bolza problem with a system of convex and nonconvex, discrete and differential state variable inequality constraints of second order by de…