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IQBAL M. BATIHA,NABILA BARROUK,ADEL OUANNAS,ABDULKARIM FARAH The Korean Society for Computational and Applied M 2023 Journal of applied mathematics & informatics Vol.41 No.4
In this article, we are devoted to study the problem of the existence, uniqueness and positivity of the global solutions of the 3 × 3 reaction-diffusion systems with the total mass of the components with time. We also suppose that the nonlinear reaction term has a critical growth with respect to the gradient. The technique that we used to prove the global existence is the method of the compact semigroup.
Iqbal M. Batiha,Nashat Alamarat,Shameseddin Alshorm,O. Y. Ababneh,Shaher Momani 경남대학교 수학교육과 2023 Nonlinear Functional Analysis and Applications Vol.28 No.2
In this paper, we study a linear system of homogeneous commensurate incom- mensurate fractional-order differential equations by developing a new semi-analytical scheme. In particular, by decoupling the system into two fractional-order differential equations, so that the first equation of order (δ + γ), while the second equation depends on the solution for the first equation, we have solved the under consideration system, where 0 < δ, γ ≤ 1. With the help of using the Adomian decomposition method (ADM), we obtain the general solution. The efficiency of this method is verified by solving several numerical examples.
Pollution detection for the singular linear parabolic equation
Iqbal M. Batiha,Imad Rezzoug,Taki-Eddine Oussaeif,Adel Ouannas,Iqbal H. Jebril 한국전산응용수학회 2023 Journal of applied mathematics & informatics Vol.41 No.3
In this work, we are concerned by the problem of identification of noisy terms which arise in singular problem as for remote sensing problems, and which are modeled by a linear singular parabolic equation. For the reason of missing some data that could be arisen when using the traditional sentinel method, the later will be changed by a new sentinel method for attaining the same purpose. Such new method is a particular least square-like method which permits one to distinguish between the missing terms and the pollution terms. In particular, a sentinel method will be given here in its more realistic setting for singular parabolic problems, where in this case, the observation and the control have their support in different open sets. The problem of finding a new sentinel is equivalent to finding singular optimality system of the least square control for the parabolic equation that we solve.
DC Motor Speed Control via FoPID-Controllers
Iqbal M. Batiha,Shaher Momani,Radwan M. Batyha,Iqbal H. Jebril,Duha Abu Judeh,Jamal Oudetallah 한국지능시스템학회 2024 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.24 No.1
This work aims to propose several designs for controlling the DC motor speed of a car. Suchmotor is broadly used in numerous applications like blowers, lathe machines, cranes, elevators,milling machines, fans, drilling rigs, etc. For achieving our aim, two optimization algorithms(Particle Swarm Optimization (PSO) and Bacterial Foraging Optimization (BFO)) will beexecuted to adjust the proposed controllers’ parameters. Accordingly, four Fractional-orderPID controllers (FoPID-controllers) will be formed in agreement with two types of schemes(Outstaloup’s and Continued Fraction Expansion (CFE) schemes), which will be used toapproximate the yielded Laplacian operators s±α, where 0 < α < 1.
Amer Mahmoud Sindiani,Osamah Batiha,Esra’a Al-zoubi,Sara Khadrawi,Ghadeer Alsoukhni,Ayesha Alkofahi,Nour Alhoda Alahmad,Sherin Shaaban,Eman Alshdaifat,Masood Abu-Halima 대한생식의학회 2021 Clinical and Experimental Reproductive Medicine Vol.48 No.1
Objective: Poor ovarian response (POR) refers to a subnormal follicular response that leads to a decrease in the quality and quantity of the eggs retrieved after ovarian stimulation during assisted reproductive treatment (ART). The present study investigated the associations of multiple variants of the estrogen receptor 2 (ESR2) and follicle-stimulating hormone receptor (FSHR) genes with POR in infertile Jordanian women undergoing ART.Methods: Four polymorphisms, namely ESR2 rs1256049, ESR2 rs4986938, FSHR rs6165, and FSHR rs6166, were investigated in 60 infertile Jordanian women undergoing ART (the case group) and 60 age-matched fertile women (the control group), with a mean age of 33.60±6.34 years. Single-nucleotide polymorphisms (SNPs) were detected by restriction fragment length polymorphism and then validated using Sanger sequencing.Results: The p-value of the difference between the case and control groups regarding FSHR rs6166 was very close to 0.05 (p=0.054). However, no significant differences were observed between the two groups in terms of the other three SNPs, namely ESR2 rs1256049, ESR2 rs4986938, and FSHR rs6165 (p=0.561, p=0.433, and p=0.696, respectively).Conclusion: The association between FSHR rs6166 and POR was not statistically meaningful in the present study, but the near-significant result of this experiment suggests that statistical significance might be found in a future study with a larger number of patients.
Firas Ghanim,Belal Batiha 경남대학교 수학교육과 2018 Nonlinear Functional Analysis and Applications Vol.23 No.3
The Hadamard product is employed in this study to describe a new class of analytic functions that include linear operator. Some of the properties related to this new class are also investigated. In the second result of this paper, applications on hypergeometric functions that employ the popular hypergeometric functions with the operator are included as well as achievement of some new results.
On the linear equivalence of sequences in Hilbert spaces
Tariq Qawasmeh,Raed Hatamleh,Belal Batiha,Ahmed Heilat 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.2
A similarity transformation of a solution of the Cauchy problem for the linear difference equation in Hilbert space has been studied. In this manuscript, we obtain necessary and sufficient conditions for linear equivalence of the discrete semigroup of operators, generated by the solution of the difference equation utilizing four Canonical semigroups.
ON D-METACOMPACTNESS IN TOPOLOGICAL SPACES
OUDETALLAH, JAMAL,ROUSAN, MOHAMMAD M.,BATIHA, IQBAL M. The Korean Society for Computational and Applied M 2021 Journal of applied mathematics & informatics Vol.39 No.5
This paper intends to define the metacompact spaces and the D-metacompact spaces as well as study their properties along with their relations with some other topological spaces. Several theoretical results are stated and proved with meticulous care through generalizing many well known theorems concerning with metacompact spaces. These results are supported via handling some illustrative examples.
A STUDY OF A WEAK SOLUTION OF A DIFFUSION PROBLEM FOR A TEMPORAL FRACTIONAL DIFFERENTIAL EQUATION
Nidal Anakira,Zinouba Chebana,Taki-Eddine Oussaeif,Iqbal M. Batiha,Adel Ouannas 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.3
In this paper, we establish sucient conditions for the existence and uniquenessof solution for a class of initial boundary value problems with Dirichlet condition in regard to a category of fractional-order partial differential equations. The results are established by a method based on the theorem of Lax Milligram.
Omran, Suha,Barakat, Husam,Muliira, Joshua Kanaabi,Bashaireh, Ibrahim,Batiha, Abdul-Moni'm Asian Pacific Journal of Cancer Prevention 2015 Asian Pacific journal of cancer prevention Vol.16 No.10
Background: Colorectal cancer (CRC is increasingly becoming a major cause of cancer morbidity and mortality in Jordan. However the population's level of awareness about CRC, CRC screening test preferences and willingness to embrace screening are not known. The aim of this study was to assess the level of CRC awareness and screening preferences among Jordanian patients. Materials and Methods: A survey assessing the CRC knowledge levels was distributed among patients attending outpatient gastroenterology clinics in public hospitals throughout Jordan. A total of 800 surveys were distributed and of these 713 (89.1%) were returned. Results: Only 22% of the participants correctly judged CRC among the choices provided as the commonest cause of cancer related deaths. The majority of participants (68.3%) underestimated their risk for CRC. Only 26.8% correctly judged their life time risk while 5% overestimated their risk. Two thirds of participants (66%) were willing to pay 500 Jordanian Dinars (equivalent to 706 US$) in order to get a prompt colonoscopy if recommended by their physician, while 25.5% reported that they would rather wait for 6 months in order to get a free colonoscopy. Conclusions: Although the participants tended to underestimate their risk for CRC, they were mostly aware of CRC as a major cause of mortality and were willing to embrace the concept of CRC screening and bear the related financial costs. These findings about CRC awareness and propensity for screening provide a good foundation as the Jordanian health system moves forward with initiatives to promote CRC screening and prevention.