A fractional generalized pure birth process is studied based on the master equation approach. The exact analytic solution of the generating function of the probability density for the process is given in terms of the Gauss hypergeometric function. The expressions of moments are also obtained in an explicit form. The effects of fixed and distributed initial conditions are also elucidated. The ef...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...

‎ in this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional laplace transform. moreover, we check the stability of conformable fractional lotka-volterra system with the multi-st...

‎It is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎For‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎This paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎The fractional derivatives are described...

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...

This paper address a new vision for the generalized Mittag-Leffler stability of the fractional differential equations. We mainly focus on a new method, consisting of decomposing a given fractional differential equation into a cascade of many sub-fractional differential equations. And we propose a procedure for analyzing the generalized Mittag-Leffler stability for the given fractional different...

BACKGROUND Central pulse pressure, pulse pressure index and fractional pulse pressure have been confirmed to be associated with increased risk of cardiovascular disease, but if the severity of cardiovascular disease, specifically for the coronary artery disease, is evaluated by central systolic pressure and fractional diastolic pressure has been not well studied. AIMS This study was designed ...

Fractional differential equations are used to construct mathematical models and can describe the characteristics of real systems. In this paper, parameter estimation problem a fractional Wiener system is studied by designing linear filters which obtain smaller tunable parameters maintain stability in any case. To improve identification performance stochastic gradient algorithm, paper derives tw...

In this paper, a multi-objective intuitionistic fuzzy linear fractional programm ing problem is discussed with two different methods namely Kanti Swarup’s Fractional algorithm and weighting factor method in which the constraints are triangular intuitionistic fuzzy number. The optimal solutions are verified for the proposed methods. Numerical examples are provided to check the feasibility of the...

BURNEXT,JOHNC., JR., JOEY P.GRANGER, AND TERRY J. OPGENORTH. Effects of synthetic atrid nutriuretic factor on renal function and renin release. Am. J. Physiol. 247 (Renal Fluid Electrolyte Physiol. 16): F863-F866,1984.-Studies were performed in anesthetized dogs (n = 5) to determine the effects of synthetic atrial natriuretic factor on renal function and renin release. Intrarenal infusion of sy...