in this article we implement an operational matrix of fractional integration for legendre polynomials. we proposed an algorithm to obtain an approximation solution for fractional differential equations, described in riemann-liouville sense, based on shifted legendre polynomials. this method was applied to solve linear multi-order fractional differential equation with initial conditions, and the...

in this paper, a mathematical method is proposed to formulate a generalized ordering problem. this model is formed as a linear optimization model in which some variables are binary. the constraints of the problem have been analyzed with the emphasis on the assessment of their importance in the formulation. on the one hand, these constraints enforce conditions on an arbitrary subgraph and then g...

In this paper, linear fractional programming problems have been extended to neutrosophic sets, and the operations functionality of these laws are studied. Moreover, new algorithm is based on aggregation ranking function arithmetic triangular sets. Furthermore, in we take up a problem where constraints both equality inequality fuzzy number. Lead from genuine issue, few numerical models considere...