In this paper we consider a general class of systems determined by operator valued measures which are assumed to be countably additive in the strong operator topology. This replaces our previous assumption of countable additivity in the uniform operator topology by the weaker assumption. Under the relaxed assumption plus an additional assumption requiring the existence of a dominating measure, ...

in this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)d^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the banach algebras. this proof is given in two cases of the continuous and discontinuous function $g$, under the generalized lipschitz and caratheodory conditions.

splenogonadal fusion is a rare congenital malformation whereby the splenic tissue is found attached or surrounded by the testis, and presents in both continuous and discontinuous forms. splenogonadal fusion may be misinterpreted as a primary malignant testicular or an adenomatoid tumor. knowledge about the existence of such an entity is essential in order to preserve the testis during surgical ...

aleatory contract has not been codified in iran's regulations.whereas egypt's regulations not only generally compromise aleatory contract but also give prominent examples for it. in aleatory contracts considerations are not determined, because, here, determination of a consideration is based on some factors which will be fulfilled in the future. the effect of this contract shall be es...

The stochastic Euler-Poincaré equations with pseudo-differential/multiplicative noise are considered in this work. We first establish two new cancellation properties on pseudo-differential operators, which considerably extend the previous results for transport type only involving gradient operator. Then, we obtain local solution, blow-up criterion, and global existence. interplay between stabil...

We study the Cauchy-Dirichlet problem for the elliptic-parabolic equation b(u)t + divF (u)−∆u = f in a bounded domain. We do not assume the structure condition “b(z) = b(ẑ)⇒ F (z) = F (ẑ)”. Our main goal is to investigate the problem of continuous dependence of the solutions on the data of the problem and the question of convergence of discretization methods. As in the work of Ammar and Wittbol...

‎in this paper, based on [a. razani, v. rako$check{c}$evi$acute{c}$ and z. goodarzi, nonself mappings in modular spaces and common fixed point theorems, cent. eur. j. math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $t$ in the modular space $x_rho$ is presented. moreover, we study a new version of krasnoseleskii's fixed point theorem for $s+t$, where $t$ is a cont...

In this contribution, a stochastic nonlinear evolution system under Neumann boundary conditions is investigated. Precisely, we are interested in finding an existence and uniqueness result for random heat equation coupled with Barenblatt’s type multiplicative force the sense of Itô. first step, establish well-posedness case additive noise through semi-implicit time discretization system. second ...