Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.
Peer-reviewed, citable articles published ahead of their issue.
Ahmed S. Rahby, Mohamed A. Abdou, Gamal A. Mosa
In this paper: We investigate the existence and uniqueness of solutions to the second kind of generalized nonlinear Volterra-Fredholm integral equations (GNV-FIEs). These equations are analyzed using the Banach fixe...
R. Shahin, M. Mohammed Jabarulla
In this paper: This paper introduces advanced irregularity measures for Pythagorean fuzzy graphs under threshold conditions. Two types of indices are proposed. The first type focuses on edge-based irregularity, incl...
Bülent Bilgehan, Ali Özyapıcı, Özlem Sabuncu
In this paper: In the realm of electrical circuit analysis, this paper presents a groundbreaking approach that revolutionizes the handling of nonlinear differential equations. Our method not only provides exact solu...
Ria Sharma, Surjeet Singh Chauhan (Gonder)
In this paper: Fixed point results are used in program verification, semantics of programming languages and recursive function theory, where multiple mappings may represent different processes or transformations. We...
Tania Chib, Surjeet Singh Chauhan (Gonder)
In this paper: The main objective of this paper is to develop a two-step fractional Newton-Raphson method for solving non-linear equations using the Caputo-Fabrizio fractional derivative. In further detail, we discu...
Jasmine Kaur, Surjeet Singh Chauhan (Gonder)
In this paper: This manuscript investigates a new generalized F-contraction of Boyd-Wong type with respect to cone-b metric space. First, we prove a main theoretical result using this new contraction, then to suppor...
Nikita Chib, Surjeet Singh Chauhan (Gonder)
In this paper: Nonlinear equations are used to model the real world phenomenon which are not adequately represented by linear equations. A three-stage iterative algorithm applying memory is developed in this study....
Swati Tomar, Surjeet Singh Chauhan (Gonder)
In this paper: This study presents a new M*-Noor hybrid approach for approximating fixed point of Kannan Suzuki Condition (KSC) type mappings in CAT(0) space. This method combines M* iteration with the Noor iteratio...
Iqbal Jebril, Zoubir Dahmani, Lynda Marouf
In this paper: We study mathematical perturbed equations that can be used to describe how learner motivation, engagement, and proficiency develop together in English as a Foreign Language (EFL) contexts. The basic s...
Mohamed Bezziou, Zoubir Dahmani
In this paper: In this paper, we study the existence, uniqueness and stability in the sense of Ulam-Hyers Mittag-Leffler approach for a particular class of nonlinear coupled systems of Caputo fractional differential...
Samira Heidari, Mostafa Eslami
In this paper: In this study, the Volterra lattice system is investigated as a semi-discrete version of the modified KdV equation. Finding exact solutions for this system is challenging due to its applications in un...
Mohammed Kaid, Chaimaa Kahlallou, Zoubir Dahmani
In this paper: We examine the solution to problem fractional with respect derivatives of Caputo. Our approach is mainly based on fractional calculus, particularly fractional derivatives and integrals, together with...
Yacine Boulatiour, Amina Boucenna, Souad Ayadi, Abdelkader Benali
In this paper: This paper is structured in two parts, both focusing on the analysis of nonlinear coupled systems using fractional calculus. In the first part, we study a beam deflection-type system with sequential C...
Stefan M. Stefanov
In this paper: The graphical solution of 2 × 2, 2 × n, m × 2 matrix games is considered, and examples for applying this approach are presented.
Iqbal Jebril, Zoubir Dahmani
In this paper: This paper investigates the dynamics of a nonlinear elastic beam governed by a space-fractional differential equation of Caputo type, where the fractional order lies in the range z ∈ (3,4). A small pa...
Midoune Noureddine, Rakdi Mohamed Anouar
In this paper: We investigate symplectic structures on 2-step nilpotent Lie algebras as well as affine structures on filiform Lie algebras, and we establish a necessary condition for the existence of such affine str...
Besma Ayed
In this paper: The significance of this study lies in its extension of Olsen’s foundational result concerning the classical average box dimension [24], thus broadening its reach and relevance. Specifically, this pap...
Ibrahim Slimane, Muhammad Uzair Awan, Zarnab Aslam
In this paper: The major goal of the current article is to establish various novel fractional Dragomir-Agarwal inequalities utilizing Atangana-Baleanu fractional integral operator. We primarily employ the class of g...
K. Boukerrioua, T. Ghrissi, Mohamed Ali Hammami
In this paper: The aim purpose of the present work is to investigate a nonlinear Gronwall-Bellman- Bihari-Gamidov’s type inequality. This investigation allows us to study the asymptotic behavior of some differential...
Zühal Küçükarslan Yüzbas, Ebru Cavlak Aslan, Dae Won Yoon
In this paper: In this work, we study time evolution equations of null curves according to acceleration vector fields in Minkowski 3-space. First of all, we find a solution of the nonlinear system of time evolution...
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