in this article, we study the analytical solutions of different parabolic heat equations with different boundaryconditions in the form of multi-term fractional differential equations. then we compare these analytical solutions with numerical finite difference methods. this comparison demonstrates the accuracy of the analytical and numerical methods presented here.

this paper presents a class of theoretical and iterative method for linear partial differential equations. an algorithm and analytical solution with a initial condition is obtained using the reduced differential transform method. in this technique, the solution is calculated in the form of a series with easily computable components. there test modeling problems from mathematical mechanic, physi...

the index of matrix a in cn.n is equivalent to the dimension of largest jor-dan block corresponding to the zero eigenvalue of a. in this paper, indicialequations and normal equations for solving inconsistent singular linear systemof equations are investigated.

Let $n$ be an integer such that $n = 5$ or \geq 7$. In this article, we introduce a recipe for certain infinite family of non-singular plane curves degree which violate the local-global principle. Moreover, each contains infinitely many members are not geometrically isomorphic to other. Our construction is based on two arithmetic objects; is, prime numbers form $X^{3}+NY^{3}$ due Heath-Brown an...

in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

In this article, we introduce a systematic and uniform construction of non-singular plane curves odd degrees n ≥ 5 <mml:annotation encoding="application/x-t...

A total of 2,260 pigs (PIC TR4 × [Fast LW PIC L02]; initially 14.8 lb) were used to evaluate a specialty soy protein source as an alternative poultry meal and spray-dried blood plasma on nursery pig performance in commercial environment. At weaning, allotted 1 5 dietary treatments based initial weight two research nurseries. In the first facility there 20 per pen 10 pens treatment. second facil...