Arab Journal of Mathematical Sciences: Volume 30 Issue 1 , Open Access

On the α-connections and the α-conformal equivalence on statistical manifolds

Khadidja Addad, Seddik Ouakkas

In this paper, we give some properties of the α-connections on statistical manifolds and we study the α-conformal equivalence where we develop an expression of curvature R…

Bi-slant submanifolds of an S manifold

Aykut Akgün, Mehmet Gülbahar

Bi-slant submanifolds of S-manifolds are introduced, and some examples of these submanifolds are presented.

Exact solutions of (1+2)-dimensional non-linear time-space fractional PDEs

Manoj Kumar

In this paper, the author presents a hybrid method along with its error analysis to solve (1+2)-dimensional non-linear time-space fractional partial differential equations (FPDEs).

Irreversible k-threshold conversion number of some graphs

Ramy Shaheen, Suhail Mahfud, Ali Kassem

This paper aims to study Irreversible conversion processes, which examine the spread of a one way change of state (from state 0 to state 1) through a specified society (the spread…

Degenerate exponential integral function and its properties

Kwara Nantomah

In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the…

The gradient discretisation method for the chemical reactions of biochemical systems

Yahya Alnashri, Hasan Alzubaidi

The main purpose of this paper is to introduce the gradient discretisation method (GDM) to a system of reaction diffusion equations subject to non-homogeneous Dirichlet boundary…

Large deviations for the stochastic functional integral equation with nonlocal condition

Gopal Shruthi, Murugan Suvinthra

The purpose of this paper is to study large deviations for the solution processes of a stochastic equation incorporated with the effects of nonlocal condition.

Classification of harmonic homomorphisms between Riemannian three-dimensional unimodular Lie groups

Zagane Abdelkader, Osamnia Nada, Kaddour Zegga

The purpose of this study is to classify harmonic homomorphisms ϕ : (G, g) → (H, h), where G, H are connected and simply connected three-dimensional unimodular Lie groups and…

Optimal error estimates of a linearized second-order BDF scheme for a nonlocal parabolic problem

M.S. Daoussa Haggar, M. Mbehou

This paper focuses on the unconditionally optimal error estimates of a linearized second-order scheme for a nonlocal nonlinear parabolic problem. The first step of the scheme is…