Nejib Ghanmi
@uqu.edu.sa
Departement of Mathematics
University college of Jummum, Umm-Al qura University
Scopus Publications
Scholar Citations
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Scholar i10-index
Scopus Publications
Ahmed B. Khoshaim, Muhammad Naeem, Ali Akgul, Nejib Ghanmi, and Shamsullah Zaland
Hindawi Limited
In this paper, the ρ -homotopy perturbation transformation method was applied to analysis of fifth-order nonlinear fractional Korteweg–de Vries (KdV) equations. This technique is the mixture form of the ρ -Laplace transformation with the homotopy perturbation method. The purpose of this study is to demonstrate the validity and efficiency of this method. Furthermore, it is demonstrated that the fractional and integer-order solutions close in on the exact result. The suggested technique was effectively utilized and was accurate and simple to use for a number of related engineering and science models.
Nejib GHANMİ
Hacettepe University
Muhammad Naeem, , Aziz Khan, Shahzaib Ashraf, Saleem Abdullah, Muhammad Ayaz, Nejib Ghanmi, , , and
American Institute of Mathematical Sciences (AIMS)
<abstract><p>The concept of spherical hesitant fuzzy set is a mathematical tool that have the ability to easily handle imprecise and uncertain information. The method of aggregation plays a great role in decision-making problems, particularly when there are more conflicting criteria. The purpose of this article is to present novel operational laws based on the Yager t-norm and t-conorm under spherical hesitant fuzzy information. Furthermore, based on the Yager operational laws, we develop the list of Yager weighted averaging and Yager weighted geometric aggregation operators. The basic fundamental properties of the proposed operators are given in detail. We design an algorithm to address the uncertainty and ambiguity information in multi-criteria group decision making (MCGDM) problems. Finally, a numerical example related to Parkinson disease is presented for the proposed model. To show the supremacy of the proposed algorithms, a comparative analysis of the proposed techniques with some existing approaches and with validity test is presented.</p></abstract>
Nejib GHANMİ
Hacettepe Journal of Mathematics and Statistics
For a positive integer $N$ and $\\mathbb{A}$ a subset of $\\mathbb{Q}$, let $\\mathbb{A}$-$\\mathcal{KS}(N)$ denote the set of $\\alpha=\\dfrac{\\alpha_{1}}{\\alpha_{2}}\\in \\mathbb{A}\\setminus \\{0,N\\}$ verifying $\\alpha_{2}r-\\alpha_{1}$ divides $\\alpha_{2}N-\\alpha_{1}$ for every prime divisor $r$ of $N$. The set $\\mathbb{A}$-$\\mathcal{KS}(N)$ is called the set of $N$-Korselt bases in $\\mathbb{A}$.
Let $p, q$ be two distinct prime numbers. In this paper, we prove that each $pq$-Korselt base in $\\mathbb{Z}\\setminus\\{ q+p-1\\}$ generates other(s) in $\\mathbb{Q}$-$\\mathcal{KS}(pq)$. More precisely, we will prove that if $(\\mathbb{Q}\\setminus\\mathbb{Z})$-$\\mathcal{KS}(pq)=\\emptyset$ then $\\mathbb{Z}$-$\\mathcal{KS}(pq)=\\{ q+p-1\\}$.
Nejib Ghanmi
Springer Science and Business Media LLC
Let $N$ be a positive integer, $\\mathbb{A}$ be a nonempty subset of $\\mathbb{Q}$ and $\\alpha=\\dfrac{\\alpha_{1}}{\\alpha_{2}}\\in \\mathbb{A}\\setminus \\{0,N\\}$. $\\alpha$ is called an $N$-Korselt base (equivalently $N$ is said an $\\alpha$-Korselt number) if $\\alpha_{2}p-\\alpha_{1}$ is a divisor of $\\alpha_{2}N-\\alpha_{1}$ for every prime $p$ dividing $N$. The set of all Korselt bases of $N$ in $\\mathbb{A}$ is called the $\\mathbb{A}$-Korselt set of $N$ and is simply denoted by $\\mathbb{A}$-$\\mathcal{KS}(N)$. Let $p$ and $q$ be two distinct prime numbers. In this paper, we study the $\\mathbb{Q}$-Korselt bases of $pq$, where we give in detail how to provide $\\mathbb{Q}$-$\\mathcal{KS}(pq)$. Consequently, we finish the incomplete characterization of the Korselt set of $pq$ over $\\mathbb{Z}$ given in [4], by supplying the set $\\mathbb{Z}$-$\\mathcal{KS}(pq)$ when $q <2p$.
Nejib Ghanmi and Fadwa S. Abu Muriefah
Springer Science and Business Media LLC
Let C and D denote positive integers such that $$CD>1$$
. In this paper we investigate the solvability of the Diophantine equation $$Cx^{2}+D=2y^{q}$$
, in positive integers x, y and odd prime number q where $$CD\\not \\equiv 3 \\pmod 4$$
and CD is squarefree.
Nejib Ghanmi
Akademiai Kiado Zrt.
Abstract Let N be a positive integer, be a subset of ℚ and . N is called an α-Korselt number (equivalently α is said an N-Korselt base) if α2p − α1 divides α2N − α1 for every prime divisor p of N. By the Korselt set of N over , we mean the set of all such that N is an α-Korselt number. In this paper we determine explicitly for a given prime number q and an integer l ∈ ℕ \\{0, 1}, the set and we establish some connections between the ql -Korselt bases in ℚ and others in ℤ. The case of is studied where we prove that is empty if and only if l = 2. Moreover, we show that each nonzero rational α is an N-Korselt base for infinitely many numbers N = ql where q is a prime number and l ∈ ℕ.
Nejib GHANMI
The Scientific and Technological Research Council of Turkey
Let α = α1 α2 ∈ Q \\ {0} ; a positive integer N is said to be an α -Korselt number (Kα -number, for short) if N ̸= α and α2p−α1 divides α2N −α1 for every prime divisor p of N . In this paper we prove that for each squarefree composite number N there exist finitely many rational numbers α such that N is a Kα -number and if α ≤ 1 then N has at least three prime factors. Moreover, we prove that for each α ∈ Q \\ {0} there exist only finitely many squarefree composite numbers N with two prime factors such that N is a Kα -number.
Ibrahim Al-Rasasi and Nejib Ghanmi
University of Central Missouri, Department of Mathematics and Computer Science
OTHMAN ECHI and NEJIB GHANMI
World Scientific Pub Co Pte Lt
Let α ∈ ℤ\\{0}. A positive integer N is said to be an α-Korselt number (Kα-number, for short) if N ≠ α and N - α is a multiple of p - α for each prime divisor p of N. By the Korselt set of N, we mean the set of all α ∈ ℤ\\{0} such that N is a Kα-number; this set will be denoted by [Formula: see text]. Given a squarefree composite number, it is not easy to provide its Korselt set and Korselt weight both theoretically and computationally. The simplest kind of squarefree composite number is the product of two distinct prime numbers. Even for this kind of numbers, the Korselt set is far from being characterized. Let p, q be two distinct prime numbers. This paper sheds some light on [Formula: see text].
RECENT SCHOLAR PUBLICATIONS
MOST CITED SCHOLAR PUBLICATIONS
Publications
1) Nejib Ghanmi and Othman Echi, The Korselt Set of pq, International Journal of
Number Theory Vol.8, No2 (2012) 299–309.
2) Nejib Ghanmi, Othman Echi and Ibrahim Al-Rassasi, The Korselt Set of a Square free Composite Number, of the Canadian Academy of Sciences, Vol 35, No1, (2013) 1-15.
3) Nejib Ghanmi and Ibrahim Al-Rassasi, On Williams Numbers With Three Prime
Factors, Missouri Journal of Mathematical Sciences, Vol 25, No 2, (2013) 134-152.
4) Nejib Ghanmi, Q-Korselt Numbers, Turk. J. Math 42(2018), 2752 - 2762.
5) Nejib Ghanmi, and Fadwa Abumuriefah, On Diophantine Equation Cx^2+D=2y^q , Ramanjuan journal.
6) Nejib Ghanmi, Korselt Rational bases of Prime Powers (in press).
7) Nejib Ghanmi, The Q-Korselt Set of pq (in press).
8) Connections on the Rational Korselt Set of pq (preprint)
9) Korselt Rational Bases and Sets (preprint)