The boundary value problem (BVP) for the varying coefficient linear Caputo-type fractional differential equation subject to mixed conditions on interval 0≤x≤1 was considered. First, BVP converted into an equivalent differential–integral merging conditions. Then, shifted Chebyshev polynomials and collocation method were used solve equation. Varying coefficients also decomposed truncated series s...

introduction: omp31 is animmunodominant and protective antigen conserved in brucella species and a good candidate for vaccine design. material & methods: the present study aimed at in silico design of the truncated omp31 (tomp31) using bioinformatic tools and to express the selected form in escherichia coli (e. coli) results and conclusion: various bioinformatically calculated scores for the mo...

In this paper, an integral equation for the kth moment function of a geometric process is derived as generalization lower-order moments process. We propose general solution to solve by using numerical method, namely trapezoidal integration rule. The reduced equations which will be given third and fourth functions compute skewness kurtosis To illustrate we assume gamma, Weibull lognormal distrib...

The length biased truncated Lomax distribution is introduced in this study as a weighted form of the distribution. distribution’s essential distributional features are investigated. In case complete and type-II censored data, maximum likelihood method provided for estimating population parameter. model parameter asymptotic confidence interval calculated. To demonstrate pattern estimate, sample ...

We discuss the spectra of multi-flavor massless QCD2. An approximation in which the Hilbert space is truncated to two currents states is used. We write down a ’t Hooft like equation for the wave function of the two currents states. We solve this equation for the lowest massive state and find an excellent agreement with the DLCQ results. In addition, the ’t Hooft model and the large Nf limit spe...

Based on the generalized symmetry group method presented by Lou and Ma [Lou and Ma, Non-Lie symmetry groups of (2 + 1)-dimensional nonlinear systems obtained from a simple direct method, J. Phys. A: Math. Gen. 38 (2005) L129], firstly, both the Lie point groups and the full symmetry group of the nonisospectral BKP equation are obtained, at the same time, a relationship is constructed between th...

In recent years finite-mixture models have been employed to approximate and model empirical diameter at breast height (DBH) distributions. We used two-component mixtures of either the Weibull distribution or the gamma distribution for describing the DBH distributions of mixed-species, two-cohort forest stands, to analyse the relationships between the DBH components, age cohorts and dominant spe...

We study linear stochastic evolution partial differential equations driven by additive noise. We present a general and flexible framework for representing the infinite dimensional Wiener process which is driving the equation. Since the eigenfunctions and eigenvalues of the covariance operator of the process are usually not available for computations, we propose an expansion in an arbitrary fram...

We consider interpolation in Lie groups and homogeneous spaces. Based on points on the manifold together with tangent vectors at (some of) these points, we construct Hermite interpolation polynomials. If the points and tangent vectors are produced in the process of integrating an ordinary di erential equation on a Lie group or a homogeneous space, we use the truncated inverse of the di erential...

In this paper, we discuss the time-fractional mKdV-ZK equation, which is a kind of physical model, developed for plasma hot and cool electrons some fluid ions. Based on properties certain employed truncated M-fractional derivatives, reduce equation to an integer-order ordinary differential utilizing adequate traveling wave transformation. Further, derive dynamical system present bifurcation equ...