[PDF] Top 20 Higher-order (F,alpha,beta,rho,d)-Convexity and its Application in Fractional Programming

... of higher-order (F, α, β, ρ, d)-convexity with respect to a differentiable function ...generalized convexity, sufficient optimality conditions for a nonlinear programming problem (NP) ... See full document

... nonlinear programming problems is an interesting research topic for recent researchers in the field of mathematical ...the application of nonlinear programming is to be maximized or minimized ratio ... See full document

... generalized convexity assumptions. Chen [] considered a pair of symmet- ric higher-order Mond-Weir type nondifferentiable multiobjecive programming problems and established duality relations ... See full document

... generalized convexity play important roles in optimization ...of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized ... See full document

... the fractional order grey relational degree to discuss the relationship between R&D investments and high technology output value in Anhui ...in higher education (R&DHE) and R&D investment ... See full document

... for higher-order derivatives of multivalent analytic functions defined on complex Hilbert ...and convexity and convex ...the fractional calculus ... See full document

... a higher-order dual for a non-differentiable minimax frac- tional programming problem and establish weak, strong and strict converse duality theorems under generalized higher-order (F, ... See full document

... transform order for the proper analysis of multicomponent signals like speech is still ...several order adaptation ...different order adaptation methods can obtain slightly higher recognition ... See full document

... multiobjective fractional programming problems in which every component of objective functions contains a term involving the support function of a compact convex ... See full document

... sical inequality (1.2). Moreover, a nice application on the zeros of a certain Mittag-Leffler function was presented in [12]. Motivated by the above cited work, some authors contin- ued the study of Lyapunov type ... See full document

... minimax fractional programming under the second-order generalized convexity type ...minimax fractional programming in the ... See full document

... A higher-order dual for a non-differentiable minimax fractional programming problem is ...generalized higher-order η -convexity assumptions on the functions involved, weak, ... See full document

... Symmetric duality in nonlinear programming in which the dual of the dual is the pri- mal was introduced by Dorn [1]. The notion of symmetric duality was developed sig- nificantly by Dantzig et al. [2], and the ... See full document

... Abstract The fractional order derivative (FOD) concept is an important concept, since FOD has application area in engineering and science. The concept of FOD can be found in extensive range of many ... See full document

... to higher order aperture of n = 10 while the contrast of the image obtained in case of circular aperture is better than that obtained in case of higher order ...the higher order ... See full document

... Liouville fractional integral identities including a twice differentiable function (see Lem- mas ...Riemann-Liouville fractional integrals for m-convexity and (s, m)-convexity functions, ... See full document

... in its application has promoted the development of other kinds of fractional transforms like fractional Hartley transform, fractional Hadamard transform, fractional cosine ... See full document

... the order of the derivative, ...integer order. Similar to integer-order differentiation, Caputo’s fractional differentiation is a linear ... See full document

... of fractional-order differential ...of fractional derivative and integration for such functions to construct a new Tau technique for solving fractional partial differential equations ...the ... See full document

... in fractional calculus and applied them to study the qualitative and quantitative properties of fractional difference equations ...of fractional differential as well as fractional difference ... See full document