Araştırma Makalesi

A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator

Cilt: 4 Sayı: 4 30 Aralık 2020
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A new approach for the solutions of the fractional generalized Casson fluid model described by Caputo fractional operator

Abstract

The fractional Casson fluid model has been considered in this paper in the context of the Goodman boundary conditions. A new approach for getting the solutions of the Casson fluid models have been proposed. There is the Double integral method and the Heat balance integral method. These two methods constitute the integral balance method. In these methods, the exponent of the approximate solutions is an open main problem, but this issue is intuitively solved by using the so-called matching method. The graphical representations of the solutions of the fractional Casson fluid model support the main results that have been presented. In our investigations, the Caputo derivative has been used.

Keywords

Kaynakça

  1. [1] S. Ghosh and S. Mukhopadhyay, MHD slip flow and heat transfer of Casson nanofluid over an exponentially stretching permeable sheet, International Journal of Automotive and Mechanical Engineering (2017), 14(4), 4785- 4804.
  2. [2] M. Hamid, T. Zubair, M. Usman, and R. U. Haq, Numerical investigation of fractional-order unsteady natural convective radiating flow of nanofluid in a vertical channel, AIMS Mathematics, (2019), 4(5), 1416-1429.
  3. [3] N. A. Sheikh, D. L. C. Ching and I. Khan, A Comprehensive Review on Theoretical Aspects of Nanofluids: Exact Solutions and Analysis, Symmetry (2020), 12, 725.
  4. [4] N. A. Sheikh, D. L. C. Ching, I. Khan, D. Kumar, K. S. Nisar, A new model of fractional Casson fluid based on generalized Fick’s and Fourier’s laws together with heat and mass transfer, Alexandria Eng. J. (2019), https://doi.org/10.1016/j.aej.2019.12.023
  5. [5] M. Saqib, A. R. M. Kasim, N. F. Mohammad, Dennis Ling Chuan Ching 4 and Sharidan Shafie Application of Fractional Derivative Without Singular and Local Kernel to Enhanced Heat Transfer in CNTs Nanofluid Over an Inclined Plate, Symmetry (2020), 12, 768.
  6. [6] A. Atangana, S. I. Araz, Extension of Atangana-Seda numerical method to partial differential equations with integer and non-integer order, Alexandria Eng. J. (2020), https://doi.org/10.1016/j.aej.2020.02.031.
  7. [7] Atangana, A. and T. Mekkaoui, Trinition the complex number with two imaginary parts: Fractal, chaos and fractional calculus, Chaos, Solitons and Fractals, 128, 366-381, (2019).
  8. [8] A. Atangana, and D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model, Thermal Sci. (2016), 20(2), 763-769.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Aralık 2020

Gönderilme Tarihi

13 Haziran 2020

Kabul Tarihi

8 Kasım 2020

Yayımlandığı Sayı

Yıl 2020 Cilt: 4 Sayı: 4

Kaynak Göster

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