Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
Journal Title: Journal of Mathematics and Applications - Year 2016, Vol 39, Issue
Abstract
In the present paper we provide some existence results and Ulam's type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces, by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.
Authors and Affiliations
Saïd Abbas, Mouffak Benchohra, Mohamed Abdalla Darwish
Keywords
Related Articles
- EP ID EP342536
- DOI 10.7862/rf.2016.1
- Views 100
- Downloads 0
Some inequalities for the polar derivative of a polynomial with restricted zeros
Let p(z) be a polynomial of degree n and for any complex number α, [formula] denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain new results concerning maximum modulus of the po...
A Refinement of Schwarz’s Lemma and its Applications
By using the value of the second derivative of the function at 0, along with the values of the function and its first derivative at 0, we have obtained a refinement of well known Schwarz’s lemma and have used this refine...
Existence and Controllability Results for Sobolev-type Fractional Impulsive Stochastic Differential Equations with Infinite Delay
In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic differential equations with infi nite delay in Hilbert spaces. In addition, the controllability of the system with...
Some Fixed Point Theorems for G-Nonexpansive Mappings on Ultrametric Spaces and Non-Archimedean Normed Spaces with a Graph
A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present so...
On differential sandwich theorems of analytic functions defined by certain generalized linear operator
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Som...