In this paper, Darbo's and Rothe's xed point theorems is used to prove the existence of monotonic solutions for the nonlinear quadratic fractional order integral equation of the following type x(t) = h(t) + Gx(t)Jα a(t)f(H1x(t),H2x(t)), t ∈ [1, e], α > 0, where a belongs to ap...
Open access
Research Article10.9734/JAMCS/2019/46641
Let Tn be the semigroup of full transformation on a nite set n. Then, a map ∈ Tn is said to be a contraction, if for all x; y ∈ Xn, |x − y| ≤ |x − y|. Let CTn denote the subsemigroup of all contraction maps in Tn. In this paper we calculated the rank of the subsemigroup of CTn ge...
Open access
Research Article10.9734/JAMCS/2019/41513
This article mainly divides into two parts. In the first part, We find a new system by using the plane wave transform and self-similar transform, then we give the exact solution by using the Cardan formula. In the second part, assuming the original equation exist weak solution, w...
Open access
Research Article10.9734/JAMCS/2019/46791
In this paper we de ne pairwise L-closed spaces and study their properties, we obtain several results concerning pairwise L-closed spaces, and some product theorems. Some examples dealing with pairwise L-closed spaces are discussed.
Open access
Research Article10.9734/JAMCS/2019/42120
This research paper proposes a fully implicit five-quarters computational algorithms of order five for Numerical Approximation of Second order IVPs in ODEs. The method is consistent, convergent, zero stable and A-stable. The method solved second order ordinary differential equati...
Open access
Research Article10.9734/JAMCS/2019/44846
Successfully understanding of social media conversation growth, dissemination and extinction is a challenging task that relies on identifying groups, group influence, diffusion models, forecast models, social dynamics and text analytics. In this problem, we concentrate on the des...
Open access
Research Article10.9734/JAMCS/2019/47118
A new dynamic model for the malaria disease has been developed for areas where the whole populace is at risk and exposure to the malaria infection is continuous throughout the year. In this model, the two vulnerable groups that is, infectious people those under 5years and pregna...
Open access
Research Article10.9734/JAMCS/2019/46649
This paper proposes an improved new exponential curve model based on the classical exponential curve and the modified exponential curve. System parameters of the new exponential curve are estimated by the nonlinear least squares method and the trust region algorithm. Furthermore,...
Open access
Research Article10.9734/JAMCS/2019/46518
A continuous two-step method using trigonometric function basis is developed and used to produce two discrete methods which are simultaneously applied as numerical integrators by assembling them into a block method with trigonometric basis for solving oscillatory initial value pr...
Open access
Research Article10.9734/JAMCS/2019/43234
This paper presents a geometric method for meaningful perspective, such that covers the classical perspective. In addition, it introduces meaningful geometric rules that include artist’s individuality. This method not only opens a way for creating flexible and mentally-oriented a...
Open access
Research Article10.9734/JAMCS/2019/45729