Arab Journal of Mathematical Sciences , Open Access

Structure theorem for Jordan algebra bundles

Ranjitha Kumar

The aims of this paper is to prove that every semisimple Jordan algebra bundle is locally trivial and establish the decomposition theorem for locally trivial Jordan algebra…

An analog of Titchmarsh's theorem for the Laguerre–Bessel transform

Larbi Rakhimi, Radouan Daher

Using a generalized translation operator, this study aims to obtain a generalization of Titchmarsh's theorem for the Laguerre–Bessel transform for functions satisfying the…

Conformal transformation of Douglas space of second kind with special (α, β)-metric

Rishabh Ranjan, P.N. Pandey, Ajit Paul

In this paper, the authors prove that the Douglas space of second kind with a generalised form of special (α, β)-metric F, is conformally invariant.

Almost Ricci–Yamabe soliton on contact metric manifolds

Mohan Khatri, Jay Prakash Singh

This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds.

Foundational aspects of a new matrix holomorphic structure

Hedi Khedhiri, Taher Mkademi

In this paper we talk about complex matrix quaternions (biquaternions) and we deal with some abstract methods in mathematical complex matrix analysis.

L2-convergence of Yosida approximation for semi-linear backward stochastic differential equation with jumps in infinite dimension

Hani Abidi, Rim Amami, Roger Pettersson, Chiraz Trabelsi

The main motivation of this paper is to present  the Yosida approximation of a semi-linear backward stochastic differential equation in infinite dimension. Under suitable…

Qualitative properties and approximate solutions of thermostat fractional dynamics system via a nonsingular kernel operator

M. Iadh Ayari, Sabri T.M. Thabet

This paper aims to study qualitative properties and approximate solutions of a thermostat dynamics system with three-point boundary value conditions involving a nonsingular kernel…

Classical solutions for the generalized Kadomtsev–Petviashvili I equations

Svetlin Georgiev, Aissa Boukarou, Keltoum Bouhali, Khaled Zennir

This paper is devoted to the generalized Kadomtsev–Petviashvili I equation. This study aims to propose a new approach for investigation for the existence of at least one global…

A frictional contact problem with normal damped response conditions and thermal effects for a thermo-electro-viscoelastic material

Abdelmoumene Djabi

The paper presents a mathematical problem involving quasistatic contact between a thermo-electro-viscoelastic body and a lubricated foundation, where the contact is described…

Periodic solutions for a class of perturbed sixth-order autonomous differential equations

Chems Eddine Berrehail, Amar Makhlouf

The objective of this work is to study the periodic solutions for a class of sixth-order autonomous ordinary differential equations x…

A dynamic analysis of a prey–predator population model with a nonlinear harvesting rate

Nadia Mohdeb

In this article, the author discusses dynamical behaviors of a prey-predator population model with nonlinear harvesting rate and offers a mathematical analysis of the model.

Paley and Hardy's inequalities for the Fourier-Dunkl expansions

Anis Elgarna

Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical…

Determinantal polynomials and the base polynomial of a square matrix over a finite field

Edoardo Ballico

The author studies forms over finite fields obtained as the determinant of Hermitian matrices and use these determinatal forms to define and study the base polynomial of a square…

Generalized Wintgen inequality for BI-SLANT submanifolds in conformal Sasakian space form with quarter-symmetric connection

Mohd Aslam, Mohd Danish Siddiqi, Aliya Naaz Siddiqui

In 1979, P. Wintgen obtained a basic relationship between the extrinsic normal curvature the intrinsic Gauss curvature, and squared mean curvature of any surface in a Euclidean…

Semiparametric tail-index estimation for randomly right-truncated heavy-tailed data

Saida Mancer, Abdelhakim Necir, Souad Benchaira

The purpose of this paper is to propose a semiparametric estimator for the tail index of Pareto-type random truncated data that improves the existing ones in terms of mean square…

Clairaut anti-invariant submersions from Lorentzian trans-Sasakian manifolds

Mohd Danish Siddiqi, Sudhakar Kumar Chaubey, Aliya Naaz Siddiqui

The central idea of this research article is to examine the characteristics of Clairaut submersions from Lorentzian trans-Sasakian manifolds of type (α, β) and also, to enhance…

Almost Kenmotsu 3-h-metric as a cotton soliton

Dibakar Dey, Pradip Majhi

Cotton soliton is a newly introduced notion in the field of Riemannian manifolds. The object of this article is to study the properties of this soliton on certain contact metric…