We provide Completely Positive and Copositive Optimization formulations for the Constrained Fractional Quadratic Problem (CFQP) and Standard Fractional Quadratic Problem (StFQP). Based on these formulations, Semidefinite Programming (SDP) relaxations are derived for finding good lower bounds to these fractional programs, which can be used in a global optimization branch-and-bound approach. Appl...

Fractional programming (FP) refers to a family of optimization problems whose objective function is ratio two functions. FP has been studied extensively in economics, management science, information theory, optic and graph communication, computer etc. This paper presents bibliometric review the FP-related publications over past five decades order track research outputs scholarly trends field. T...

We explore the approximation of feedback control integro-differential equations containing a fractional Laplacian term. To obtain for state variable this nonlocal equation, we use Hamilton–Jacobi–Bellman equation. It is well known that approach suffers from curse dimensionality, and to mitigate problem couple semi-Lagrangian schemes discretization dynamic programming principle with Shepard appr...