Arab Journal of Mathematical Sciences , Open Access

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…

Congruences modulo prime for fractional colour partition function

Riyajur Rahman, Nipen Saikia

Let p_[1,r;t] be defined by ∅

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.

Arithmetic properties of (2, 3)-regular overcubic bipartitions

S. Shivaprasada Nayaka

Let b…

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…

Multiplicity of solutions for the discrete boundary value problem involving the p-Laplacian

Abdelrachid El Amrouss, Omar Hammouti

The purpose of this paper is the study of existence and multiplicity of solutions for a nonlinear discrete boundary value problems involving the p-laplacian.

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…

Zero-divisor graphs of twisted partial skew generalized power series rings

Mohammed H. Fahmy, Ahmed Ageeb Elokl, Ramy Abdel-Khalek

The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring R…

Periodic solutions for a class of fifth-order differential equations

Chems Eddine Berrehail, Zineb Bouslah

This study aims to provide sufficient conditions for the existence of periodic solutions of the fifth-order differential equation.

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.

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…

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…

A new analytic solution of complex Langevin differential equations

Rabha Ibrahim

In this study, the authors introduce a solvability of special type of Langevin differential equations (LDEs) in virtue of geometric function theory. The analytic solutions…

When is (D, K) an S-accr pair?

Subramanian Visweswaran

The purpose of this article is to determine necessary and sufficient conditions in order that (D, K) to be an S-accr pair, where D is an integral domain and K is a field…

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…

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…

Geometry of left-invariant Randers metric on the Heisenberg groups

Ghodratallah Fasihi-Ramandi, Shahroud Azami

In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics.

Some fixed-point theorems for a general class of mappings in modular G-metric spaces

Godwin Amechi Okeke, Daniel Francis

This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several…

Operators on the vanishing moments subspace and Stieltjes classes for M-indeterminate probability distributions

Marcos López-García

In this work the author gathers several methods and techniques to construct systematically Stieltjes classes for densities defined on R+.

Entire functions of restricted hyper-order sharing a set of two small functions IM with their linear c-shift operators

Abhijit Banerjee, Arpita Roy

The paper aims to build the relationship between an entire function of restricted hyper-order with its linear c-shift operator.

On copula moment: empirical likelihood based estimation method

Jihane Abdelli, Brahim Brahimi

In this paper, the authors applied the empirical likelihood method, which was originally proposed by Owen, to the copula moment based estimation methods to take advantage…

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…

On some nonlinear anisotropic elliptic equations in anisotropic Orlicz space

Omar Benslimane, Ahmed Aberqi, Jaouad Bennouna

In the present paper, the authors will discuss the solvability of a class of nonlinear anisotropic elliptic problems (P), with the presence of a lower-order term and a…

Uniformity on generalized topological spaces

Dipankar Dey, Dhananjay Mandal, Manabendra Nath Mukherjee

The present article deals with the initiation and study of a uniformity like notion, captioned μ-uniformity, in the context of a generalized topological space.

Numerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivative

Mushtaq Ali, Mohammed Almoaeet, Basim Karim Albuohimad

This study aims to use new formula derived based on the shifted Jacobi functions have been defined and some theorems of the left- and right-sided fractional derivative for…

Weierstrass points on modular curves X0(N) fixed by the Atkin–Lehner involutions

Mustafa Bojakli, Hasan Sankari

The authors have determined whether the points fixed by all the full and the partial Atkin–Lehner involutions W_Q on X₀(N) for N ≤ 50 are Weierstrass points or not.

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.

Arithmetic properties of singular overpartition pairs without multiples of k

S. Shivaprasada Nayaka, T.K. Sreelakshmi, Santosh Kumar

In this paper, the author defines the function B…

On a class of non-local discrete boundary value problem

Anass Ourraoui, Abdesslem Ayoujil

In this article, the authors discuss the existence and multiplicity of solutions for an anisotropic discrete boundary value problem in T-dimensional Hilbert space. The…

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 geometry of the tangent bundle with gradient Sasaki metric

Lakehal Belarbi, Hichem Elhendi

Let (M, g) be a n-dimensional smooth Riemannian manifold. In the present paper, the authors introduce a new class of natural metrics denoted by g^f and called gradient…

An investigation on the existence of warped product irrotational screen-real lightlike submanifolds of metallic semi-Riemannian manifolds

Gauree Shanker, Ankit Yadav

The purpose of this paper is to study the geometry of screen real lightlike submanifolds of metallic semi-Riemannian manifolds. Also, the authors investigate whether these…