The 4 dimensional (4d) Jordan totient matrix which is described by the aid of famous Jordan's function and some new double sequence spaces as domain this aforementioned have been examined Erdem Demiriz . In present paper, first all we define two using 4d show that newly are Banach with their norm. Then, give inclusion relations including spaces. Moreover, compute $\alpha$-, $\beta(bp)$- $\gamma...

Abstract We study the large time asymptotics of solutions to Cauchy problem for fractional modified Korteweg-de Vries equation $$\begin{aligned} \left\{ \begin{array}{l} \partial _{t}w+\frac{1}{\alpha }\left| _{x}\right| ^{\alpha -1}\partial _{x}w=\partial _{x}\left( w^{3}\right) ,\text { }t>0,\, x\in {\mathbb {R}}\textbf{,}\\ w\left( 0,x\right) =w_{0}\left( x\right) ,\,x\in {R}} \textbf{,} ...

With the increasing refugee crisis worldwide, a great promise lies in 2030 agenda to help ‘leave no one behind.’ This article aims take stock of implementing Agenda camps Arab Middle East based on empirical data from Syrian refugees and Iraqi IDPs collected using questionnaire distributed Iraq, Jordan, Lebanon. SDGs’ indices were calculated arithmetic mean principal component analysis methods. ...

Abstract This paper is concerned with the n -dimensional strongly coupled parabolic systems triangular form in cylinder Ω × ( 0 , T stretchy="false">] \Omega \times (0,T] . We investigate <m:...

Abstract For a non-empty set X X , denote the full transformation semigroup on by T ( ) T\left(X) and suppose that E E is an equivalence relation . Evidently, xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> ∗</m...

We present necessary and sufficient conditions for the reducibility of a self-adjoint linear relation in Krein space. Then generalized Nevanlinna function Q represented by A Pontryagin space can be decomposed means reducing subspaces A. The sum two functions $$ {Q}_i\in {N}_{\kappa_i}\left(\mathcal{H}\right) , i = 1, 2, minimally triplets \left({\mathcal{K}}_i,{A}_i,{\Gamma}_i\right) is also st...

let a be a unital r-algebra and m be a unital a-bimodule. it is shown that every jordan derivation of the trivial extension of a by m, under some conditions, is the sum of a derivation and an antiderivation.

In this paper, we introduce a new class $\mathcal{R}^{\alpha}_{m}(h)$ of functions $F=f\ast\psi$, defined in the open unit disc $E$ with $F(0)=F^{\prime}(0)-1=0$ and satisfying condition \begin{equation*} F^{\prime}(z)+\alpha zF^{\prime\prime}(z)=\left(\frac{m}{4}+\frac{1}{2}\right)p_{_{1}}(z)-\left(\frac{m}{4}-\frac{1}{2}\right)p_{_{2}}(z), \end{equation*} for $\alpha\geq0,\,m\geq2$ $p_{_{i}}\...