Arab Journal of Mathematical Sciences , Open Access

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…

A generalization of Ascoli–Arzelá theorem in Cn with application in the existence of a solution for a class of higher-order boundary value problem

Salah Benhiouna, Azzeddine Bellour, Rachida Amiar

A generalization of Ascoli–Arzelá theorem in Banach spaces is established. Schauder's fixed point theorem is used to prove the existence of a solution for a boundary value…

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…

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.

Congruences modulo prime for fractional colour partition function

Riyajur Rahman, Nipen Saikia

Let p_[1,r;t] be defined by ∅

Positive solution for the (p, q)-Laplacian systems by a new version of sub-super solution method

Mohammed Moussa, Abdelqoddous Moussa, Hatim Mazan

In this paper, the authors give a new version of the sub-super solution method and prove the existence of positive solution for a (p, q)-Laplacian system under weak…

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…

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…

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.

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…

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…

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…

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…

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…

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).

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…

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…

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…

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.

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…

Convergence theorem of Pettis integrable multivalued pramart

M'Hamed El-Louh, Mohammed El Allali, Fatima Ezzaki

In this work, the authors are interested in the notion of vector valued and set valued Pettis integrable pramarts. The notion of pramart is more general than that of…

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…

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…

Classification of space-like translation surfaces in the 3-dimensional Lorentz Heisenberg group H3

Rafik Medjati, Hanifi Zoubir, Brahim Medjahdi

In the Lorentz Heisenberg space H3 endowed with flat metric g3, a translation surface is parametrized by r(x, y) = γ₁(x)*γ₂(y), where γ₁ and γ₂ are two planar curves lying…

Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials

Alejandro Molano

In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials.

Some results on quadratic credibility premium using the balanced loss function

Farouk Metiri, Halim Zeghdoudi, Ahmed Saadoun

This paper generalizes the quadratic framework introduced by Le Courtois (2016) and Sumpf (2018), to obtain new credibility premiums in the balanced case, i.e. under the…

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…

Solvability of nonlinear fractional integro-differential equation with nonlocal condition

Sakhri Aicha, Ahcene Merad

This study describes the applicability of the a priori estimate method on a nonlocal nonlinear fractional differential equation for which the weak solution's existence and…

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.

Critical point equation on almost f-cosymplectic manifolds

H. Aruna Kumara, V. Venkatesha, Devaraja Mallesha Naik

Besse first conjectured that the solution of the critical point equation (CPE) must be Einstein. The CPE conjecture on some other types of Riemannian manifolds, for…

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…