Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 8Citation - Scopus: 14Fractional Hybrid Differential Equations and Coupled Fixed-Point Results for Α-Admissible F(Ψ1, Ψ2)-Contractions in M-Metric Spaces(Hindawi Ltd, 2020) Karapinar, Erdal; Moustafa, Shimaa, I; Shehata, Ayman; Agarwal, Ravi P.; Al-Mdallal, Qasem M.In this paper, we investigate the existence of a unique coupled fixed point for alpha-admissible mapping which is of F(psi(1),psi(2))-contraction in the context ofM-metric space. We have also shown that the results presented in this paper would extend many recent results appearing in the literature. Furthermore, we apply our results to develop sufficient conditions for the existence and uniqueness of a solution for a coupled system of fractional hybrid differential equations with linear perturbations of second type and with three-point boundary conditions.Correction A New Approach To Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme (Vol 2020, 6096545, 2020)(Hindawi Ltd, 2021) Hameed, Rabia; Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-MingArticle Citation - WoS: 9Citation - Scopus: 12Unsteady Mhd Williamson Fluid Flow With the Effect of Bioconvection Over Permeable Stretching Sheet(Hindawi Ltd, 2022) Asjad, Muhammad Imran; Zahid, Muhammad; Ali, Bagh; Jarad, FahdThe unsteady flow of Williamson fluid with the effect of bioconvection in the heat and mass transfer occurring over a stretching sheet is investigated. A uniform magnetic field, thermal radiation, thermal dissipation, and chemical reactions are taken into account as additional effects. The physical problem is formulated in the form of a system of partial differential equations and solved numerically. For this purpose, similarity functions are involved to transmute these equations into corresponding ordinary differential equations. After that, the Runge-Kutta method with shooting technique is employed to evaluate the desired findings with the utilization of a MATLAB script. As a result, the effects of various physical parameters on the velocity, temperature, and nanoparticle concentration profiles as well as on the skin friction coefficient and rate of heat transfer are discussed with the aid of graphs and tables. The parameters of Brownian motion and thermophoresis are responsible for the rise in temperature and bioconvection Rayleigh number diminishes the velocity field. This study on nanofluid bioconvection has been directly applied in the pharmaceutical industry, microfluidic technology, microbial improved oil recovery, modelling oil and gas-bearing sedimentary basins, and many other fields. Further, to check the accuracy and validation of the present results, satisfactory concurrence is observed with the existing literature.Article Citation - WoS: 8Citation - Scopus: 10Aggregation Operators for Interval-Valued Intuitionistic Fuzzy Hypersoft Set With Their Application in Material Selection(Hindawi Ltd, 2022) Zulqarnain, Rana Muhammad; Siddique, Imran; Jarad, Fahd; Karamti, Hanen; Iampan, AiyaredThe intuitionistic fuzzy hypersoft set (IFHSS) is the most generalized form of the intuitionistic fuzzy soft set used to resolve uncertain and vague data in the decision-making process, considering the parameters' multi-sub-attributes. Aggregation operators execute a dynamic role in assessing the two prospect sequences and eliminating anxieties from this perception. This paper prolongs the IFHSS to interval-valued IFHSS (IVIFHSS), which proficiently contracts with hesitant and unclear data. It is the most potent technique for incorporating insecure data into decision-making (DM). The main objective of this research is to develop the algebraic operational laws for IVIFHSS. Furthermore, using the algebraic operational law, some aggregation operators (AOs) for IVIFHSS have been presented, such as interval-valued intuitionistic fuzzy hypersoft weighted average (IVIFHSWA) and interval-valued intuitionistic fuzzy hypersoft weighted geometric (IVIFHSWG) operators with their essential properties. Multi-criteria group decision-making (MCGDM) technique is vigorous for material selection. However, conventional methods of MCGDM regularly provide inconsistent results. Based on the expected AOs, industrial enterprises propose a robust MCGDM material selection method to meet this shortfall. The real-world application of the planned MCGDM method for cryogenic storing vessel material selection (MS) is presented. The implication is that the designed model is more efficient and consistent in handling information based on IVIFHSS.Article Citation - WoS: 7Citation - Scopus: 9An Exact and Comparative Analysis of Mhd Free Convection Flow of Water-Based Nanoparticles Via Cf Derivative(Hindawi Ltd, 2022) Aziz-Ur-Rehman, Aziz-Ur-; Riaz, Muhammad Bilal; Saeed, Syed Tauseef; Jarad, Fahd; Jasim, Hayder Natiq; Enver, Aytekin; Rehman, Aziz-Ur-Convective flow is a self-sustained flow with the effect of the temperature gradient. The density is nonuniform due to the variation in temperature. The effect of the magnetic flux plays a major role in convective flow. The process of heat transfer is accompanied by a mass transfer process, for instance, condensation, evaporation, and chemical process. Combination of water as base fluid and three types of nanoparticles named as copper, titanium dioxide, and aluminum oxide is taken into account. Due to the applications of the heat and mass transfer combined effects in different fields, the main aim of this paper is to do a comprehensive analysis of heat and mass transfer of MHD natural convection flow of water-based nano-particles in the presence of ramped conditions with Caputo-Fabrizio fractional time derivative. The exact fractional solutions of temperature, concentration, and velocity have been investigated by means of integral transform. The classical calculus is assumed as the instant rate of change of the output when the input level changes. Therefore, it is not able to include the previous state of the system called the memory effect. But, in the fractional calculus (FC), the rate of change is affected by all points of the considered interval to incorporate the previous history/memory effects of any system. Due to this reason, we applied the modern definition of fractional derivative. Here, the order of the fractional derivatives will be treated as an index of memory. The influence of physical parameters and flow is analyzed graphically via computational software (MATHCAD-15). Our results suggest that the incremental value of the M is observed for a decrease in the velocity field, which reflects to control resistive force.Article Citation - WoS: 1Citation - Scopus: 2N-Dimensional Fractional Frequency Laplace Transform by the Inverse Difference Operator(Hindawi Ltd, 2020) Xavier, G. Britto Antony; Jarad, Fahd; Meganathan, M.; Abdeljawad, ThabetWith the study of extensive literature on the Laplace transform with one and two variables and its properties, applications are available, but there is no work onn-dimensional Laplace transform. In this research article, we definen-dimensional fractional frequency Laplace transform with shift values. Several theorems are derived with properties of the Laplace transform. The results are numerically analyzed and discussed through MATLAB.Article Existence of Unique Solution of Urysohn and Fredholm Integral Equations in Complex Double Controlled Metric Type Spaces(Hindawi Ltd, 2022) Sarwar, Muhammad; Rahmat, Gul; Jarad, Fahd; Ahmad, Sahibzada WaseemComplex Urysohn integral equations and complex Fredholm integral equation of the second kind have intensified the attention of appreciable researchers to their solution due to their comprehensive applications. This study is devoted to the existence and uniqueness of solution to these integral equations in the setting of complete complex double controlled metric spaces via fixed point theory. For this motive, a fixed point result together with a numerical example for the convergence behavior of operator to the fixed point is analyzed in the context of the quoted metric spaces.Article Citation - WoS: 9Citation - Scopus: 11Effect of Diffusion-Thermo on Mhd Flow of a Jeffrey Fluid Past an Exponentially Accelerated Vertical Plate With Chemical Reaction and Heat Generation(Hindawi Ltd, 2022) Nisa, Zaib Un; Asjad, Muhammad Imran; Nazar, Mudassar; Jarad, Fahd; Shafique, AhmadIn many flow phenomenons of fluid with medium molecular weight, the energy flux is effected due to the inhomogeneity of concentration of mass. This contribution of the concentration to the energy flux is considered as diffusion-thermo effect or Dufour effect. In this research article the diffusion-thermo effect is addressed for the magnetohydrodynamics (MHD) flow of Jeffrey's fractional fluid past an exponentially accelerated vertical plate with generalized thermal and mass transports through a porous medium. For the generalization of the thermal and mass fluxes the constant proportional Caputo (CPC) fractional derivative is utilized. The governing of this generalized flow are reduced to non-dimensional forms and then solved semi analytically by Laplace transform. In additions the physical aspects of flow and material parameters especially the effect of Du and fractional parameters are discussed by sketching the graphs. From the graphical illustration, it is concluded that in the presence of Dufour effect flow speeds up. Moreover, a comparison between fractionalized and ordinary velocity fields is also drawn and it is also observed that fractional model with constant proportional derivative is of the more decaying nature as compare to the model contracted with classical Caputo and Caputo fractional derivatives.Article Citation - WoS: 2Citation - Scopus: 6Common Fixed Point Theorems on Tricomplex Valued Metric Space(Hindawi Ltd, 2022) Haq, Absar Ul; Gnanaprakasam, Arul Joseph; Baloch, Imran Abbas; Jarad, Fahd; Mani, GunaseelanIn this paper, we introduce the notion of tricomplex valued metric space and prove some common fixed point theorems. The presented results generalize and expand some of the literature well-known results. We also explore some applications of our key results.Article Citation - WoS: 8Citation - Scopus: 8Analysis of Natural Convection in Nanofluid Flow Through a Channel With Source/Sink Effect(Hindawi Ltd, 2022) Sadiq, Kashif; Jarad, Fahd; Al Mesfer, Mohammed K.; Danish, Mohd; Yaqoob, Sonia; Siddique, ImranIn this study, the natural convection nanofluids flow through a channel formed by two vertical parallel plates having distance d between them has been examined under the influence of the ramped velocity. Sodium alginate is considered as base fluid, and nanoparticles of titania (TiO2) and alumina (Al2O3) are added to it. Analytical and semianalytical results for temperature and velocity profiles are obtained with Laplace transform and inverse Laplace algorithms (Tzou, Stehfest, Talbot, Honig and Hirdes, and Fourier series), respectively. Furthermore, the impacts of nanoparticles, Prendtl number, heat absorption, and time on velocity and temperature are drawn graphically and discussed. The outcomes show that the high thermal conductivity of particles increases the temperatures, and the high density of particles decreases the velocities of the nanofluids. The current findings are compared to previous findings in the literature. In the tables, the effect of volume fraction on Nusselt numbers and skin frictions is explored.