Advanced Mathematics

In this work, we explore the fuzzy soft matrix and their operations. In this report, we define intuitionistic fuzzy soft matrices and have inserted some new operators with weights. We then prove fuzzy soft algorithm that allows constructing those efficient decision making methods. In the end, we throw an example on the weighted harmonic mean for decision making problems. It indicates that the method can be successfully employed to many problems that contain uncertainties.

In this article, we present a general fractional dynamical system related to cancer tumor. The considered model describes tumor – immune cell interactions using a system of fractional order differential equations. The conditions for global stability of cancer free state are studied, for the ague therapy fractional model. In order to stabilize or completely eliminate the cancer, we suggest suitable choices of functions and parameters in our fractional model.

In this paper, we made an attempt to study the algebraic nature of fuzzy subfield of a field with respect to T-norm.

In this study, we concluded the Lagrangian equations on (J^((2,0) ) M,?_L,?) , being a model. Finally introduce, some geometrical and physical results on the related mechanic systems have been discussed.

In this paper we introduced the concept of fuzzy g- super closed and explore various properties fuzzy topological space.

In this paper, we study the structure of cancellative quasi commutative ternary semigroups. In fact we prove that if T is a cancellative quasi commutative ternary semigroup, then (1) T is a primary ternary semigroup, (2) proper prime ideals in T are maximal, (3) semiprimary ideals in T are primary, are equivalent. We obtain a characterization for semipseudo symmetric ternary semigroups with identity in which proper prime ideals are maximal and also we characterize semipseudo symmetric semigroups without identity in which proper prime idels are maximal and globally idempotent principal ideals from a chain. Further we characterize quasi commutative ternary semigroups containing cancellable elements in which proper prime ideals are maximal. Finally we study the ternary semigroups containing, identity with either one of the following properties. (1) Every nonzero primary ideal is prime as well as maximal, (2) every nonzero primary ideal is prime, (3) every nonzero ideal is prime.

High frequency unsteady peristaltic flow of a Jeffrey fluid in uniform and non-uniform tube has been investigated. The governing equations has been solved numerically and investigations are made for two cases for uniform and tapered tubes. The velocity distribution and the pressure rise is obtained. The effect of Jeffrey parameter, Womersley parameter on the flow characteristics are discussed and are analyzed through graphs for both uniform and tapered tube. Furthermore, the results obtained for the flow characteristics reveal many interesting behaviors that warrant further study of the peristaltic transport models with physiological fluids.

In this paper we studied fractional calculus properties. Riemann-Liouville fractional integral and derivative of the Generalized p-k Wright function. Certain particular cases of the derived results are considered and indicated to further reduce to some known results.

In this paper we establish some more generalizations of Enestr?m – Kakeya theorem by taking the case when the monotonic coefficients are perturbed and hence finding annulus for the polynomial. Besides many consequences our results considerably improve the bounds in some cases as well.

Let denote the set of all complex matrices .By the star partial ordering .So means that and . We find several characterizations for in the case of s-k normal matrices. As an applications, we study how relates to . The results can be extended to study how relates to , where is an integer.