Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 19Citation - Scopus: 22Numerical Investigation of Fractional-Order Cholera Epidemic Model With Transmission Dynamics Via Fractal-Fractional Operator Technique(Pergamon-elsevier Science Ltd, 2022) Jarad, Fahd; Alsharidi, Abdulaziz Khalid; Rashid, SaimaThe goal of this research is to determine if it is conceptually sufficient to eliminate infection in a community by utilizing mathematical modelling and simulation techniques when appropriate protective controls are adopted. In this research, we investigate the straightforward interaction transmission method to create a deterministic mathematical formulation of cholera infectious dynamics via the fractal-fractional (F-F) derivative operator. Furthermore, the qualitative characteristics of the framework are investigated, including the invariant region, the existence of a positive invariant solution, the equilibria conditions and their stabilities. In addition, the fundamental reproductive number R-0 < 1 is calculated, indicating that the strategy is more plausible. The Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators are recently described F-F differential operators that are used to describe the computational formula of the cholera epidemic model. We examined the numerical dynamics of the cholera epidemic, considering three assumptions: (i) altering fractal order while fixing fractional order; (ii) changing fractional order while fixing fractal order; and (iii) fluctuating fractal and fractional orders simultaneously. For the numerical modelling of the aforesaid model, our analysed graphical representations and numerical simulations via MATLAB indicate that the newly proposed Atangana-Baleanu, Caputo-Fabrizio, and Caputo F-F differential operators yield notable outcomes when compared to the classical framework. According to the simulated data, reduced contact rate, successful recovery rate, and appropriate hygiene are the most essential aspects for eliminating cholera disease from the community.Article Citation - WoS: 52Citation - Scopus: 59Numerical Investigation of Magneto-Thermal Impact on Phase Change Phenomenon of Nano-Pcm Within a Hexagonal Shaped Thermal Energy Storage(Pergamon-elsevier Science Ltd, 2023) Sheremet, Mikhail; Hajjar, Ahmad; Galal, Ahmed M.; Mahariq, Ibrahim; Jarad, Fahd; Ben Hamida, Mohamed Bechir; Izadi, MohsenLatent heat storage is among the most effective thermal energy storage techniques. The heat can be stored or released in a phase change substance undergoing melting or solidification. The present research addresses the melting process of paraffin, a phase change material, enhanced with metallic alumina nanoparticles, inside a hexagonal heat storage unit in the presence of a uniform magnetic field is investigated. The melting process occurs during the thermal charge of the latent heat storage unit. The enthalpy-porosity method was employed to model the melting process. The influence of the Lorentz force strength and magnetic field inclination angle as well as the nanoparticle concentration on charging level was scrutinized. It was found that the Lorentz force can suppress the charging level of the thermal energy storage system, while the magnetic field inclination angle can be suitable to control the energy transport performance and melting motion within the thermal energy storage unit. Moreover, raising the nanoadditives concentration diminishes the melting process. Overall, the obtained results confirmed that altering the intensity or direction of the external magnetic field presents indeed a mean for controlling the flow and thermal behavior of nano-enhanced phase change materials. Imposing the Ha up to 500 increases 266% the dimensionless melting time compared to ignoring magnetic field (Ha = 0).Article Citation - WoS: 21Citation - Scopus: 22Stability Results of Positive Solutions for a System of Ψ -Hilfer Fractional Differential Equations(Pergamon-elsevier Science Ltd, 2021) Panchal, Satish K.; Jarad, Fahd; Almalahi, Mohammed A.The major objective of this work is to investigate sufficient conditions of existence and uniqueness of positive solutions for a finite system of psi-Hilfer fractional differential equations. The gained results are obtained by building the upper and lower control functions of the nonlinear expression with the help of fixed point theorems such as Banach and Schauder. Furthermore, we establish various kinds of Ulam stability results by applying the techniques of nonlinear functional analysis. A pertinent example is provided to corroboration of the results obtained. (C) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 144Citation - Scopus: 158Semi-Analytical Study of Pine Wilt Disease Model With Convex Rate Under Caputo-Febrizio Fractional Order Derivative(Pergamon-elsevier Science Ltd, 2020) Jarad, Fahd; Abdeljawad, Thabet; Shah, Kamal; Alqudah, Manar A.In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under the CaputoFabrizio fractional derivative (CFFD). For the proposed solution, we utilize Laplace transform coupled with Adomian decomposition method abbreviated as (LADM). The concerned method is a powerful tool to obtain semi-analytical solution for such type of nonlinear differential equations of fractional order (FODEs) involving non-singular kernel. Furthermore, we give some results for the existence of solution to the proposed model and present numerical results to verify the established analysis. (C) 2020 Elsevier Ltd. All rights reserved.Article Citation - WoS: 26Citation - Scopus: 26Proposing an Innovative and Explicit Economic Criterion for All Passive Heat Transfer Enhancement Techniques of Heat Exchangers(Pergamon-elsevier Science Ltd, 2022) Pourhedayat, Samira; Aldawi, Fayez; Moria, Hazim; Anqi, Ali E.; Jarad, Fahd; Dizaji, Hamed SadighiNumerous passive heat transfer enhancement techniques (including various types of turbulators) have been proposed before for heat exchangers by many researchers. Their thermal/frictional behaviors have been reported in-detail in term of Nu number, friction factor and so on. However, their economic characteristic has been always immature which is because of lack of an explicit economic criterion (with clear economic unit i.e. dollar per unit of time etc.) applicable for any passive technique through any type of heat exchanger. Hence, this research aims to propose an explicit economic criteria (with a final clear formula) to evaluate the production cost rate of heated/cooled fluid through any type of heat exchanger (with or without passive technique) taking into account all effective parameters (such as capital cost, pumping power, exergy related costs, electricity price of the region, thermal and fluid flow condition through the heat exchanger, ambient condition and so on) and without dependency of other equipment that may work in-line with heat exchanger. The model is developed based on the general standard Specific Exergy Costing theory. The proposed model is a strong economic criterion tool, optimization tool and also comparison tool between different passive heat transfer enhancement methods. Case study as an example application of the model is provided at the last part of the paper. (c) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 33Citation - Scopus: 35Nonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler Kernel(Pergamon-elsevier Science Ltd, 2019) Jarad, Fahd; Karapinar, Erdal; Alqahtani, Badr; Fulga, AndreeaIn this manuscript, we aim to refine and characterize nonlinear F-contractions in a more general framework of b-metric spaces. We investigate the existence and uniqueness of such contractions in this setting. We discuss the solutions to differential equations in the setting of fractional derivatives involving Mittag-Leffler kernels (Atangana-Baleanu fractional derivative) by using nonlinear F-contractions that indicate the genuineness of the presented result. (C) 2019 Elsevier Ltd. All rights reserved.Article Citation - WoS: 22Citation - Scopus: 21Novel Aspects of Discrete Dynamical Type Inequalities Within Fractional Operators Having Generalized (h)over-Bar Mittag-Leffler Kernels and Application(Pergamon-elsevier Science Ltd, 2021) Sultana, Sobia; Hammouch, Zakia; Jarad, Fahd; Hamed, Y. S.; Rashid, SaimaDiscrete fractional calculus (DFC) has had significant advances in the last few decades, being successfully employed in the time scale domain (h) over barZ. Understanding of DFC has demonstrated a valuable improvement in neural networks and modeling in other terrains. In the context of Riemann form (ABTL), we discuss the discrete fractional operator influencing discrete Atangana-Baleanu (AB)-fractional operator having (h) over bar -discrete generalized Mittag-Leffler kernels. In the approach being presented, some new Polya-Szego and Chebyshev type inequalities introduced within discrete AB-fractional operators having h-discrete generalized Mittag-Leffler kernels. By analyzing discrete AB-fractional operators in the time scale domain Z, we can perform a comparison basis for notable outcomes derived from the aforesaid operators. This type of discretization generates novel outcomes for synchronous functions. The specification of this proposed strategy simply demonstrates its efficiency, precision, and accessibility in terms of the methodology of qualitative approach of discrete fractional difference equation solutions, including its stability, consistency, and continual reliance on the initial value for the solutions of many fractional difference equation initial value problems. The repercussions of the discrete AB-fractional operators can depict new presentations for various particular cases. Finally, applications concerning bounding mappings are also illustrated. (C) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 9Citation - Scopus: 10More Efficient Estimates Via H-Discrete Fractional Calculus Theory and Applications(Pergamon-elsevier Science Ltd, 2021) Sultana, Sobia; Jarad, Fahd; Jafari, Hossein; Hamed, Y. S.; Rashid, SaimaDiscrete fractional calculus (DFC) is continuously spreading in the engineering practice, neural networks, chaotic maps, and image encryption, which is appropriately assumed for discrete-time modelling in continuum problems. First, we start with a novel discrete h-proportional fractional sum defined on the time scale hZ so as to give the premise to the more broad and complex structures, for example, the suitably accustomed transformations conjuring the property of observing the new chaotic behaviors of the logistic map. Here, we aim to present the novel discrete versions of Gruss and certain other associated variants by employing discrete h-proportional fractional sums are established. Moreover, several novel consequences are recaptured by the h-discrete fractional sums. The present study deals with the modification of Young, weighted-arithmetic and geometric mean formula by taking into account changes in the exponential function in the kernel represented by the parameters of the operator, varying delivery noted outcomes. In addition, two illustrative examples are apprehended to demonstrate the applicability and efficiency of the proposed technique. (C) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 42Citation - Scopus: 40Inducing Swirl Flow Inside the Pipes of Flat-Plate Solar Collector by Using Multiple Nozzles for Enhancing Thermal Performance(Pergamon-elsevier Science Ltd, 2021) Jarad, Fahd; Wae-hayee, Makatar; Cao, Yan; Ayed, Hamdi; Hashemian, Mehran; Issakhov, AlibekIn this numerical study, an attempt has been made to improve the thermal performance of the flat-plate solar collector (FPSC) by inducing the swirl flow inside the tube by the considered nozzles. To this end, the effect of the number of circumferential nozzles and their inclination angles was taken into the account. The considered number of nozzles was "single", "dual", "triple", and "quad". For each of the said cases, the inclination angle of nozzles was taken 30 degrees, 45 degrees, 60 degrees, and 90 degrees (A30, A45, A60, A90). Moreover, the mass flow rate of single-nozzle pipe was considered 0.2 kg/s, 1 kg/s, and 2 kg/s. To analyze all of the cases under identical conditions, the said mass flow rates were distributed equally among all of the nozzles (for "dual", "triple", and "quad"). All of the characteristics were defined in a form of "A...-D...- N...-M..."where "A...", "D...", "N...", and "M..." stand for angle of injection, diameter of pipe, nozzle cross-section edge, and mass flow rate, respectively. Numerical simulation (3-dimensional) of the system was performed by Finite Volume Method (FVM). The turbulence nature of flow was simulated by the k omega SST (shear stress transport) turbulent model. Results showed that the "single-nozzle"swirl generator had the highest thermal performance factor (TPF) so that for all cases its values were greater than unit. Mass flow rate growth increases Nu, heat extraction rate, and kinetic energy rate (KER) while drops friction factor and outlet temperature. Increment of injection angle increases outlet temperature and friction factor and reduces KER. The maximum and minimum values of TPF are 4.19 and 0.44 which belong to "single; A30-D50-N12.5-M0.2" and "quad; A90-D50-N12.5-M0.5", respectively. (C) 2021 Elsevier Ltd. All rights reserved.Article Citation - WoS: 41Citation - Scopus: 46Existence of Positive Solutions for Weighted Fractional Order Differential Equations(Pergamon-elsevier Science Ltd, 2020) Ali, Saeed M.; Shah, Kamal; Jarad, Fahd; Abdo, Mohammed S.; Abdeljawad, ThabetIn this paper, we deliberate two classes of initial value problems for nonlinear fractional differential equations under a version weighted generalized of Caputo fractional derivative given by Jarad et al. (2020a) [25]. We get a formula for the solution through the equivalent fractional integral equations to the proposed problems. The existence and uniqueness of positive solutions have been obtained by using lower and upper solutions. The acquired results are demonstrated by building the upper and lower control functions of the nonlinear term with the aid of Banach and Schauder fixed point theorems. The acquired results are demonstrated by pertinent numerical examples along with the Bashforth Moulton prediction correction scheme and Matlab. (C) 2020 Elsevier Ltd. All rights reserved.