In this paper, we study a coupled system of nonlinear fractional differential equations with multi-point boundary condi- tions. The differential operator is taken in the Riemann-Liouville sense. Applying the Schauder fixed-point theorem and the contrac- tion mapping principle, two existence results are obtained for the following system D^{alpha}_{0+}x(t)=fleft(t,y(t),D^{p}_{0+}y(t)right), t in (0,...

The prime graph $Gamma(G)$ of a group $G$ is a graph with vertex set $pi(G)$, the set of primes dividing the order of $G$, and two distinct vertices $p$ and $q$ are adjacent by an edge written $psim q$ if there is an element in $G$ of order $pq$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$. For $pinpi(G)$, set $deg(p):=|{q inpi(G)| psim q}|$, which is called the degree of $p$. We also set $D(G):...

On a general Lie group G endowed with sub-Riemannian structure and of local dimension d, we characterize the pointwise multipliers Triebel–Lizorkin spaces Fαp,q for p,q∈(1,∞) α>d/p, those Besov Bαp,q q∈[1,∞], p>d d/p<α<1. When is stratified, extend latter characterization to all p,q∈[1,∞] α>d/p.

2014 A microscopic model of cholesteric polypeptide liquid crystals is proposed Polypeptide molecules may form 03B1-helix conformations. It is assumed that such molecules have uniformly distributed electric dipoles along the long axes of molecules. The directions of the dipoles are assumed to be perpendicular to the long axes and rotate uniformly along the long axes. It is assumed that the móle...

Two experiments were conducted to determine the effect of offering a multi-material innovative (MMI) feed including: Vitex agnus-castus, Thymus vulgaris, Lavandula angustifolia, Marigold (Calendula officinalis) on curtails molting and sex hormone concentrations in canaries and laying hens. In the first study, a total of 120 female molted canaries were allotted in to 12 cages of 10 birds with 4 ...

The Wiener index of a graph Gis defined as W(G) =1/2[Sum(d(i,j)] over all pair of elements of V(G), where V (G) is the set of vertices of G and d(i, j) is the distance between vertices i and j. In this paper, we give an algorithm by GAP program that can be compute the Wiener index for any graph also we compute the Wiener index of HAC5C7[p, q] and HAC5C6C7[p, q] nanotubes by this program.