Araştırma Makalesi

Stability of a nonlinear fractional pseudo-parabolic equation system regarding fractional order of the time

Cilt: 6 Sayı: 3 30 Eylül 2022
PDF İndir
EN

Stability of a nonlinear fractional pseudo-parabolic equation system regarding fractional order of the time

Abstract

In this work, we investigate an issue of fractional order continuity for a system of pseudo-parabolic equations. Specifically, we focus on investigating the stability of the derivative index, the solution $w_{a}$ is continuously with respect to fractional order $a$ in the appropriate sense.

Keywords

Destekleyen Kurum

Thu Dau Mot University

Kaynakça

  1. [1] N.H. Sweilam, S.M. Al-Mekhlafi, T. Assiri, A. Atangana, Optimal control for cancer treatment mathematical model using Atangana−Baleanu−Caputo fractional derivative, Advances in Difference Equations., 2020 (1), pp. 1–21.
  2. [2] S. Kumar, A. Atangana, A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment, International Journal of Biomathematics., 13 (03), pp. 205002.1.
  3. [3] A. Atangana, A. Akgül, K.M. Owolabi, Analysis of fractal fractional differential equations, Alexandria Engineering Journal., 59.3 (2020), pp. 1117–1134.
  4. [4] A. Atangana, Z. Hammouch, Fractional calculus with power law: The cradle of our ancestors, The European Physical Journal Plus., 134 (9), pp. 429.
  5. [5] A. Atangana, E. Bonyah, Fractional stochastic modeling: New approach to capture more heterogeneity, Chaos: An Inter- disciplinary Journal of Nonlinear Science., 29 (1), pp. 013118.
  6. [6] A. Atangana A, D. Baleanu, New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model, Therm Sci 2016. OnLine-First (00). 18. 10.2298/TSCI160111018A.
  7. [7] A. Atangana, E.F.D. Goufo, Cauchy problems with fractal-fractional operators and applications to groundwater dynamics, Fractals., 2020, doi:10.1142/s0218348x20400435.
  8. [8] H.G. Sun, Y. Zhang, D. Baleanu, W. Chen, Y.Q. Chen, A new collection of real world applications of fractional calculus in science and engineering, Commun. Nonlinear Sci. Numer.Simul., 64 (2018), pp. 213–231.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Eylül 2022

Gönderilme Tarihi

2 Temmuz 2021

Kabul Tarihi

11 Mart 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 3

Kaynak Göster