Existence and Controllability Results for Sobolev-type Fractional Impulsive Stochastic Differential Equations with Infinite Delay
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
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 nonlocal conditions and infi nite delay is studied. An example is provided to illustrate the obtained theory.
Authors and Affiliations
Ahmed Boudaoui, Abdeldjalil Slama
Keywords
Related Articles
- EP ID EP341818
- DOI 10.7862/rf.2017.3
- Views 120
- Downloads 0
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
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 noncompac...
De la Vallée Poussin Summability, the Combinatorial Sum ∑_(k=n)^(2n-1) (2k¦k) and the de la Vallée Poussin Means Expansion
In this paper we apply the de la Vallée Poussin sum to a combinatorial Chebyshev sum by Ziad S. Ali in [1]. One outcome of this consideration is the main lemma proving the following combinatorial identity: with Re(z) sta...
About a Class of Analytic Functions Defined by Noor-Sǎlǎgean Integral Operator
In this paper we introduce a new integral operator as the convolution of the Noor and Sălăgean integral operators. With this integral operator we define the class C_{NS}(α), where α∈[0,1) and we study some properties of...
Approximation by Szász Type Operators Including Sheffer Polynomials
In present article, we discuss voronowskaya type theorem, weighted approximation in terms of weighted modulus of continuity for Szász type operators using Sheffer polynomials. Lastly, we investigate statistical approxima...
A Characterization of Weakly J(n)-Rings
A ring R is called a J(n)-ring if there exists a natural number n ≥ 1 such that for each element r ∈ R the equality r^{n+1} = r holds and a weakly J(n)-ring if there exists a natural number n ≥ 1 such that for each eleme...