دانشگاه تبریز
فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

 آمار

تعداد نشریات45
تعداد شماره‌ها1,531
تعداد مقالات18,644
تعداد مشاهده مقاله61,332,650
تعداد دریافت فایل اصل مقاله22,090,943
Zeinali, Masoumeh, Eslami, Ghiyam. (1405). Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium. سامانه مدیریت نشریات علمی, 14(1), 23-35. doi: 10.22034/cmde.2024.63793.2862
Masoumeh Zeinali; Ghiyam Eslami. "Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium". سامانه مدیریت نشریات علمی, 14, 1, 1405, 23-35. doi: 10.22034/cmde.2024.63793.2862
Zeinali, Masoumeh, Eslami, Ghiyam. (1405). 'Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium', سامانه مدیریت نشریات علمی, 14(1), pp. 23-35. doi: 10.22034/cmde.2024.63793.2862
Zeinali, Masoumeh, Eslami, Ghiyam. Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium. سامانه مدیریت نشریات علمی, 1405; 14(1): 23-35. doi: 10.22034/cmde.2024.63793.2862

Existence result for the fuzzy form of the equation governing the unsteady motion of solid particles in a fluid medium

Computational Methods for Differential Equations
مقاله 3، دوره 14، شماره 1، فروردین 2026، صفحه 23-35    اصل مقاله (384.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.63793.2862
نویسندگان
Masoumeh Zeinali* 1؛ Ghiyam Eslami2
1Faculty of Mathematics‎, ‎Statistics and Computer sciences‎, ‎University of Tabriz‎, ‎Tabriz‎, ‎Iran.
2Department of Mechanical Engineering‎, ‎Ahar branch‎, ‎Islamic Azad University‎, ‎Ahar‎, ‎Iran.
چکیده
The unsteady drag force in the equation governing the dynamics of small solid particles in the fluid medium appears as an integral Volterra operator in the equation, which is known as the history force. The history force has a kernel whose exact and general form is not known to date. In this article, the very general form of this equation is considered so that both the kernel of the history force and the fields affecting the particle motion can have a general linear or non-linear form. In the present work, the fuzzy form of this equation is proposed as a new method for uncertainty analysis of the problem. Using the Shoulder’s fixed point theorem in the semi-linear Banach space, it is proved that the fuzzy form of this equation has a solution.
کلیدواژه‌ها
Implicit integro-differential equation؛ GH-differentiability؛ Particle motion؛ Schauder fixed point theorem
مراجع
  • [1] R. P. Agarwal, S. Arshad, D. O’Regan, and V. Lupulescu, A Schauder fixed point theorem in semilinear spaces and applications, Fixed Point Theory and Applications, 2013 (2013).
  • [2] T. Allahviranloo, S. Abbasbandy, and S. Hashemzehi, Approximating the Solution of the Linear and Nonlinear Fuzzy Volterra Integrodifferential Equations Using Expansion Method, Abstract and Applied Analysis, 2014 (2014), 713892.
  • [3] T. Allahviranloo, S. Abbasbandy, O. Sedaghgatfar, and P. Darabi, A new method for solving fuzzy integro-differential equation under generalized differentiability, Neural Computing and Applications, 21 (2012), 191–196.
  • [4] O. Abu Arqub, S. Momani, S. Al–Mezel, and M. Kutbi, Existence, Uniqueness, and Characterization Theorems for Nonlinear Fuzzy Integrodifferential Equations of Volterra Type, Mathematical Problems in Engineering, 2015 (2015), 835891.
  • [5] P. Balasubramaniam and S. Muralisankar, Existence and Uniqueness of Fuzzy Solution for the Nonlinear Fuzzy Integrodifferential Equations, Applied Mathematics Letters, 14 (2001), 455–462.
  • [6] P. Balasubramaniam and S. Muralisankar, Existence and Uniqueness of Fuzzy Solution for Semilinear Fuzzy Integrodifferential Equations with Nonlocal Conditions, Computers and Mathematics with Applications, 47 (2004), 1115–1122.
  • [7] B. Bede and S. G. Gal, Generalizations of the differentiability of fuzzy–number–valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, 151 (2005), 581–599.
  • [8] B. Bede and S. G. Gal, Solutions of fuzzy differential equations based on generalized differentiability, Communications in Mathematical Analysis, 9 (2010), 22–41.
  • [9] F. Bombardelli, A. Gonz´alez, and Y. Nin˜o, Computation of the particle Basset force with a fractional–derivative approach, Journal of Hydraulic Engineering, 134(10) (2008), 1513–1520.
  • [10] P. Cleary, Industrial particle flow modelling using discrete element method, Engineering Computations, 26(6) (2009), 698–743.
  • [11] P. Cleary, J. Hilton, and M. Sinnott, Modelling of industrial particle and multiphase flows, Powder Technology, 314 (2017), 232–252.
  • [12] G. Eslami, Uncertainty analysis based on Zadeh’s extension principle, journal of Artificial Intelligence in Electrical Engineering, 10(39) (2021). 22–29.
  • [13] G. Eslami, E. Esmaeilzadeh, P. Garc´ıa S´anchez, A. Behzadmehr, and S. Baheri, Heat transfer enhancement in a stagnant dielectric liquid by the up and down motion of conductive particles induced by coulomb forces, Journal Of Applied Fluid Mechanics, 10(1) (2017), 169–182.
  • [14] G. Eslami, E. Esmaeilzadeh, and A. P´erez, Modeling of conductive particle motion in viscous medium affected by an electric field considering particle–electrode interactions and microdischarge phenomenon, Physics of Fluids, 28(10) (2016).
  • [15] R. Goetschel and W. Voxman, Elementary fuzzy calculus, Fuzzy Sets and Systems, 18 (1986), 31–43.
  • [16] E. Loth and A. Dorgan, An equation of motion for particles of finite Reynolds number and size, Environmental fluid mechanics, 9 (2009), 187–206.
  • [17] P. Moreno–Casas and F. Bombardelli, Computation of the Basset force: recent advances and environmental flow applications, Environmental Fluid Mechanics, 16 (2016), 193–208.
  • [18] M. Schmeeckle, Numerical simulation of turbulence and sediment transport of medium sand, Journal of Geophysical Research: Earth Surface, 119(6) (2014), 1240–1262.
  • [19] J. Shirolkar, C. Coimbra, and M. McQuay, Fundamental aspects of modeling turbulent particle dispersion in dilute flows, Progress in Energy and Combustion Science, 22(4) (1996), 363–399.
  • [20] M. Zeinali and G. Eslami, Uncertainty analysis of temperature distribution in a thermal fin using the concept of fuzzy derivative, Journal of Mechanical Engineering, 51(4) (2022), 527–536.
  • [21] M. Zeinali, S. Shahmorad, and K. Mirnia, Fuzzy integro–differential equations: discrete solution and error estimation, Iranian Journal of Fuzzy System, 10 (2013), 107–122.
  • [22] M. Zeinali and S. Shahmorad, An equivalence lemma for a class of fuzzy implicit integro–differential equations, Journal of Computational and Applied Mathematics, 327 (2018), 388–399.
  • [23] M. Zeinali, The existence result of a fuzzy implicit integro–differential equation in semilinear Banach space, Computational Methods for Differential Equations, 5(3) (2017), 232–245.
  • [24] M. Zeinali, S. Shahmorad, and K. Mirnia, Fuzzy integro–differential equations: Discrete solution and error estimation, Iranian Journal of Fuzzy Systems, 10(1) (2013), 107–122.
  • [25] M. Zeinali, S. Shahmorad, and K. Mirnia, Hermite and piecewise cubic Hermite interpolation of fuzzy data, Journal of Intelligent & Fuzzy Systems, 26(6) (2014), 2889–2898.
آمار
تعداد مشاهده مقاله: 288
تعداد دریافت فایل اصل مقاله: 411


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب