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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.
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.
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.
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.