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Öğe Different scenarios to enhance thermal comfort by renewable-ecological techniques in hot dry environment(Elsevier Ltd, 2022) Sakhri, Nasreddine; Ahmad, Hijaz; Shatanawi, Wasfi; Menni, Younes; Ameur, Houari; Botmart, ThongchaiRecently, building thermal studies have focused more and more on providing the right living conditions inside buildings, houses, schools, hospitals, etc., especially in hot-dry regions to defeat energy consumption dilemmas generally coming from fossil fuels source by renewable energy. In this paper, a field of experiments in actual conditions is conducted to investigate the influence of external parameters on the occupant's thermal comfort inside a typical dry region house. The obtained results are projected directly on the psychometric chart to position the real thermal comfort current situation. The results confirm the direct influence and indirect influence of external climatic conditions (temperature and humidity, respectively) on internal comfort. Two scenarios with renewable techniques are investigated experimentally based on the obtained results. An earth-to-air heat exchanger (EAHE) and solar chimney (SC) are connected separately to a similar building, and parameters affecting thermal comfort are discussed. The results show that both techniques improve thermal comfort inside the structure with efficiently saving energy. Renewable energy can enhance thermal comfort with significant power- and cost-saving in hot-dry regions.Öğe Exact analytical wave solutions for space-time variable-order fractional modified equal width equation(Elsevier, 2022) Ali, Umair; Ahmad, Hijaz; Baili, Jamel; Botmart, Thongchai; Aldahlan, Maha A.The variable-order evolution equation is an impressive mathematical model that explain complex dynamical problems efficiently and accurately. This latest research investigates the modified equal width nonlinear space–time variable-order fractional differential equation and fractional derivative operator in the sense of Caputo. Using transformation, an ordinary differential equation is obtained from the variable-order differential equation. For accuracy, the space–time variable-order fractional modified equal width equation is solved by the modified (G’/G) -expansion method. This model describes the simulation for one-dimensional wave transmission in nonlinear media with dispersion processes. As a result, new traveling wave solutions are developed for various values of parameters. The obtained solutions have several applications in a recent area of research in mathe- matical physics. The obtained graphical solutions are in the form of singular solitons, kink solitons and periodic solitons waves which demonstrate that the physical signifance and dynamical behaviors of fractional variable- order differential equations and the proposed method are more effective, powerful, and easy in solving prob- lems arising in mathematical physicsÖğe Fractional mathematical modeling of malaria disease with treatment & insecticides(Elsevier, 2022) Sinan, Muhammad; Ahmad, Hijaz; Ahmad, Zubair; Baili, Jamel; Murtaza, Saqib; Aiyashi M.A.; Botmart, ThongchaiMany fatal diseases spread through vertical transmission while some of them spread through horizontal transmission and others transmit through both modes of transmission. Horizontal transmission illnesses are usually carried by a vector, which might be an animal, a bird, or an insect. Plasmodium parasites that dwell in red blood cells produce malaria, an infectious illness. This parasite is mostly transmitted to humans via mosquitoes. The dynamics of Malaria illness among human persons and vectors are examined in this study. The impact of the vector (mosquito) on disease transmission is also taken into account. The problem is described using nonlinear ODEs that are then generalized using the Atangana–Baleanu fractional derivative. Some theoretical analyses such as existence and uniqueness and stability via Ulam–Hyres stability analysis and optimal control strategies have been done. The numerical solution has been achieved via a numerical technique by implementing MATLAB software. Results of fractional, as well as classical order, are portrayed through different graphs while some figures are displayed for the global asymptotical stability of the model. From the graphical results, it can be noticed that the control parameters drastically decrease the number of infected human and vector population which will off course minimize the spread of infection among the human population. In addition to that, from the graphical results, it also be noticed that our model is globally asymptomatically stable as the solution converges to its equilibrium. Moreover, the use of bednets and insecticides can reduce the spread of infection dramatically while the impact of medication and treatment on the control of infection is comparatively less.Öğe Haar wavelet method for solution of variable order linear fractional integro-differential equations(AIMS Press, 2022) Amin, Rohul; Shah, Kamal; Ahmad, Hijaz; Ganie, Abdul Hamid; Abdel-Aty, Abdel-Haleem; Botmart, ThongchaiIn this paper, we developed a computational Haar collocation scheme for the solution of fractional linear integro-di erential equations of variable order. Fractional derivatives of variable order is described in the Caputo sense. The given problem is transformed into a system of algebraic equations using the proposed Haar technique. The results are obtained by solving this system with the Gauss elimination algorithm. Some examples are given to demonstrate the convergence of Haar collocation technique. For di erent collocation points, maximum absolute and mean square root errors are computed. The results demonstrate that the Haar approach is e cient for solving these equations.Öğe New diverse variety for the exact solutions to Keller-Segel-Fisher system(Elsevier B.V., 2022) Zahran, Emad H.M.; Ahmad, Hijaz; Saeed, Tareq; Botmart, ThongchaiIn our current paper, we will extract new unexpected diverse variety of the exact solutions to the Keller-Segel -Fisher system (KSFS) which is a famous mathematical biological model that governs the mechanism of bacteria to discovery food and gets rid of venoms. The suggested model plays a vital rule for health of humans, animals as well as all other organisms. There are three famous different techniques are introduced for extract and document these new unexpected behaviors of the exact solutions are the [Formula presented] -expansion method, the extended simple equation method (ESEM) and the Riccati-Bernoulli Sub-ODE method (RBSODM). We will implement these three proposed techniques in the same time and in arranged sequence. Furthermore, we will document and list a comparison between our new achieved exact solutions of this model each with each other as well as the previously documented solutions by other authors who studied this model before.Öğe Some Novel Fractional Integral Inequalities over a New Class of Generalized Convex Function(MDPI, 2022) Sahoo, Soubhagya Kumar; Tariq, Muhammad; Ahmad, Hijaz; Kodamasingh, Bibhakar; Shaikh, Asif Ali; Botmart, Thongchai; El-Shorbagy, Mohammed A.The comprehension of inequalities in convexity is very important for fractional calculus and its effectiveness in many applied sciences. In this article, we handle a novel investigation that depends on the Hermite–Hadamard-type inequalities concerning a monotonic increasing function. The proposed methodology deals with a new class of convexity and related integral and fractional inequalities. There exists a solid connection between fractional operators and convexity because of its fascinating nature in the numerical sciences. Some special cases have also been discussed, and several already-known inequalities have been recaptured to behave well. Some applications related to special means, q-digamma, modified Bessel functions, and matrices are discussed as well. The aftereffects of the plan show that the methodology can be applied directly and is computationally easy to understand and exact. We believe our findings generalise some well-known results in the literature on s-convexity.
