Many mathematical models describe the Corona virus disease 2019 (COVID-19) outbreak; however, they require advance skills. The need for this study is to determine diffusion of COVID-19 vaccine in humans. To end, we first establish a Pythagorean fuzzy partial fractional differential equation using integral transforms express effects vaccination on humans under generalized Hukuhara conditions. We...

HUKUHARA, YAMAGAMI and NAKAYAMA7) have reported that the intestinal reflex consists of two kinds, the mucosal and muscular reflexes, distinctly different in nature from each other. In the former the mechanical or the chemical stimulation of the mucosa produces excitation above and inhibition below the stimulated spot, and in the latter the mechanical or the chemical stimulation of the muscular ...

In this paper, we study the concept of generalized differentiability for fuzzy-valued functions on time scales. Usingthe derivative of the product of two functions, we provide solutions to first order linear fuzzy dynamic equations. Wepresent some examples to illustrate our results.

Matrix valued functions play an important role in the development of algorithms for semidefinite programming problems. This paper studies generalized differential properties of such functions related to nonsmooth-smoothing Newton methods. The first part of this paper discusses basic properties such as the generalized derivative, Rademacher’s theorem, B-derivative, directional derivative, and se...

Matrix-valued functions play an important role in the development of algorithms for semidefinite programming problems. This paper studies generalized differential properties of such functions related to nonsmooth-smoothing Newton methods. The first part of this paper discusses basic properties such as the generalized derivative, Rademacher’s theorem, -derivative, directional derivative, and sem...

We study some classes of generalized convex functions, using a generalized derivative approach. We establish some links between these classes and we devise some optimality conditions for constrained optimization problems. In particular, we get Lagrange-Kuhn-Tucker multipliers for mathematical programming problems. Key words: colinvex, colin…ne, generalized derivative, mathematical programming, ...

in this paper, simultaneous control of source terms is considered in a vibrational string problem.in the considered problem, the terms to be controlled are the force and the initial velocity functions. we statethe generalized (weak) solution about the considered problem. the existence and uniqueness of the solutionfor optimal control problem is investigated. the frechet derivative of the functi...