Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2019, Vol 16, Issue 0
Abstract
In this paper, the existence and uniqueness about the solution for a class of abstract stochastic fractional-order differential equations where in and are given functions, are investigated, where the fractional derivative is described in Caputo sense. The fractional calculus, stochastic analysis techniques and the standard $Picard's$ iteration method are used to obtain the required.
Authors and Affiliations
Mahmoud Mohammed Mostafa El-Borai, A. Tarek S. A.
Iterative Algorithm for the Effects of Atmospheric Refraction on the Equatorial Coordinates of a Star Valid for any Zenith Distance
In the present paper an efficient algorithm will be established for the effects of atmospheric refraction on the equatorial coordinates of a star valid for any zenith distance The algorithm uses two new...
Adomian Decomposition Method for Solving Coupled KdV Equations
In this article, we study a numerical solution of the coupled kdv equation with initial condition by the Adomian Decomposition Method.The solution is calculated in the form of aconvergent power series with easily computa...
On Parameters Estimation in Stochastic Differential Equations with Additive Random Effects
In this paper, we proposed a class of statistical models where random effects are inserted into a Stochastic differential equations (SDEs) model, SDE defined N independent stochastic processes the drift term depend...
Gravity Variations in the Kingdom of Saudi Arabia
The class of life distributions used better than aged in convex order upper tail ordering (UBACT) is introduced. A Moment inequality to this class (UBACT) of life distribution is given. In addition testing exponentiality...
On ma- Separation Axiom In Biminimal Space
This paper deals with the extension and development of some of the concepts of the separation axiom in topological space into biminimal spaces. In Addition, to give new results and theorems, supported by illustrative exa...