Araştırma Çıktıları | WoS | Scopus | TR-Dizin | PubMed
Permanent URI for this communityhttps://hdl.handle.net/20.500.14719/1741
Browse
5 results
Search Results
Publication Metadata only A NEW ANALYSIS OF THE AB-FRACTAL-FRACTIONAL OPERATORS USING THE GENERALIZED GAMMA FUNCTION IN GEOMETRIC PATTERNS(WORLD SCIENTIFIC PUBL CO PTE LTD, 2025) Ibrahim, Rabha W.; Baleanu, Dumitru; Karaca, Yeliz; Salahshour, Soheil; Okan University; Al-Ayen University; Lebanese American University; University of Massachusetts System; UMass Chan Medical School; Bahcesehir UniversityFractional calculus can be employed to precisely alter or control the fractal dimension of deterministic or random fractals with coordinates that can be denoted as functions of independent variables. Fractal geometry, enabling more accurate definition and measurement of the complicated nature of a shape, resorts to quantification, while gamma function refers to the generalization of the factorial function. This study has made a generalization of the Atangana-Baleanu (AB) fractal-fractional operators (derivative and integral), which is called p-AB-fractal fractional calculus through the utilization of the enhanced gamma function, which is called the p-gamma function. Additionally, we extend the proposed operators into a complex variable to discuss their properties geometrically in the open unit disk. Therefore, a normalization structure is provided with a set of examples. This leads to investigate the operators geometrically. In this direction, we introduce the sufficient conditions on these operators to get the starlikeness and convexity properties in the unit disk. As an application of these operators, we establish the existence and uniqueness solution of abstract fractal-fractional differential equation. Consequently, we illustrate a set of examples showing the validity of the new parameter p. The results provided in the study illustrate and demonstrate that the generalized and the extended operators can be considered in extensive applications and/or other geometric studies.Publication Metadata only Magneto-hydraulic Casson fluid flow under the suction/blowing effects past over the porous stretching surface(TAYLOR & FRANCIS LTD, 2022) Haider, Qusain; Sabir, Zulqurnain; Salahshour, Soheil; Ali, Mohamed R.; Eldin, El Sayed Tag; Sadat, R.; University of Gujrat; Hazara University; Bahcesehir University; Egyptian Knowledge Bank (EKB); Future University in Egypt; Egyptian Knowledge Bank (EKB); Benha University; Egyptian Knowledge Bank (EKB); Zagazig UniversityThe purpose of this study is to provide the two-dimensional Magneto hydraulic Casson fluid under the suction/blowing effects of an unstable stretched surface past on the porous medium undertaken when a prescribed surface temperature (PST) occurs. The purpose of this study is to show the effects of the coupling heat and mass transfer in Casson fluid flow. In the system of heat and mass transfer, the action of the magnetic field is considered and PST presents the heat transfer analysis. Using the similarity transformations, the governing model based on the partial differential equations is turned into a set of ordinary differential systems. The mathematical computations have been performed through the bvp4c, i.e. inbuilt Matlab software. The numerical findings are graphically presented using the concentration, temperature, and velocity profiles for various model parameters. The local Nusselt, Sherwood and the skin friction coefficient have also been provided. The Local Nusselt number increases with the magnetic field and the porous media parameters, whereas the magnetic field parameter in combination with the porous media parameter retards the velocity profile.Publication Metadata only A high-accuracy Vieta-Fibonacci collocation scheme to solve linear time-fractional telegraph equations(TAYLOR & FRANCIS LTD, 2022) Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Salahshour, Soheil; Near East University; Cankaya University; Institute of Space Science; China Medical University Taiwan; Bahcesehir UniversityThe vital target of the current work is to construct two-variable Vieta-Fibonacci polynomials which are coupled with a matrix collocation method to solve the time-fractional telegraph equations. The emerged fractional derivative operators in these equations are in the Caputo sense. Telegraph equations arise in the fields of thermodynamics, hydrology, signal analysis, and diffusion process of chemicals. The orthogonality of derivatives of shifted Vieta-Fibonacci polynomials is proved. A bound of the approximation error is ascertained in a Vieta-Fibonacci-weighted Sobolev space that admits increasing the number of terms of the series solution leads to the decrease of the approximation error. The proposed scheme is implemented on four illustrated examples and obtained numerical results are compared with those reported in some existing research works.Publication Metadata only Enhancement of micromixing efficiency in non-Newtonian blood flow using surface acoustic waves: a study based on the Carreau-Yasuda model(KOREAN SOC RHEOLOGY, 2025) Faradonbeh, Vahid Rabiei; Salahshour, Soheil; Toghraie, Davood; Islamic Azad University; Okan University; Bahcesehir University; Ministry of Education of Azerbaijan Republic; Khazar University; Islamic Azad University; Islamic Azad UniversityThis paper comprehensively investigates integrating surface acoustic waves (SAWs) within microfluidic channels to enhance micromixing efficiency. Utilizing the blood flow flowing through the Carreau-Yasuda non-Newtonian fluid model, we examine the behavior of blood analog fluids under the influence of high-frequency acoustic waves. The study employs advanced computational fluid dynamics (CFD) techniques and perturbation theory to solve the modified continuity and momentum equations, revealing the complex interactions between acoustic streaming and fluid flow. A parametric analysis was conducted for inlet velocities (vel\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\text{vel}$$\end{document}) ranging from 0.021\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0.021$$\end{document} to 0.041m/s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0.041 \text{m}/\text{s}$$\end{document} to examine the variations in Reynolds and Peclet numbers. In addition, to evaluate the impact of wave strength on micromixing, the characteristic parameter of the wave generator is considered. d0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${d}_{0}$$\end{document} was varied between 8\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$8$$\end{document} and 14nm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$14\text{ nm}$$\end{document} applied to the system of equations. Our results demonstrate significant improvements in mixing performance, with a remarkable increase in fluid homogenization and reaction rates, thereby underscoring the transformative potential of hydro-acoustofluidic systems in biomedical and bioanalytical applications. One of the key outcomes of the present research is achieving rapid homogeneous mixing of blood flow within an extremely short mixing Length of approximately 2 mm, which offers numerous advantages for biological applications. In addition, the sensitivity of micromixing to variations in Reynolds number, which was previously significant, has been reduced by applying acoustic waves and intensifying the acoustic wave strength.Publication Metadata only Bivariate Jacobi polynomials for solving Volterra partial integro-differential equations with the weakly singular kernel(WILEY, 2021) Sadri, Khadijeh; Hosseini, Kamyar; Mirzazadeh, Mohammad; Ahmadian, Ali; Salahshour, Soheil; Singh, Jagdev; Islamic Azad University; University of Guilan; Universiti Kebangsaan Malaysia; Near East University; Bahcesehir UniversityAn operational matrix method is implemented based on the bivariate Jacobi polynomials to attain numerical solutions of a category of Volterra weakly singular partial integro-differential equations (VWSPI-DEs). Utilizing Jacobi approximations and their integral, derivative, and pseudo-integral operational matrices along with the collocation method reduces the given VWSPI-DE to a system of algebraic equations. Diverse forms of the Jacobi polynomials are used to investigate and compare errors of obtained approximate solutions. Moreover, some error bounds are computed for the error functions. Four experimental illustrations are solved to exhibit the effectiveness and suitability of the proposed scheme.