Research Article

Convergent Result for Linear Conformable Pseudo-parabolic Equation

Volume: 20 Number: 1 May 1, 2023
EN

Convergent Result for Linear Conformable Pseudo-parabolic Equation

Abstract

In this paper, we are interested to study conformable pseudo-parabolic equation. This equation has many applications in science and engineering. Our main goal is to show that the convergence result of the mild solution when the fractional order tends to 1−. The main technique is to use evaluations in Hilbert scales spaces that incorporate some new inequalities.

Keywords

Thanks

The author Tuan Nguyen Anh is supported by Van Lang University

References

  1. V. Kiryakova, ”Generalized Fractional Calculus and Applications,” Pitman Research Notes in Mathematics 301, Longman, Harlow 1994.
  2. I. Podlubny, ”Fractional Differential Equations,” Academic Press, California, 1999.
  3. V.F. Morales-Delgado, J.F. Go´mez-Aguilar, R.F. Escobar-Jime´nez and M.A. Taneco-Herna´ndez, ”Fractional conformable derivatives of Liouville-Caputo type with low-fractionality,” Physica A: Statistical Mechanics and its Applications, vol. 503, pp. 424-438, 2018.
  4. S. He, K. Sun, X. Mei, B. Yan and S. Xu, ”Numerical analysis of a fractional-order chaotic system based on conformable fractional-order derivative,” Eur. Phys. J. Plus, vol. 132, no. 36, 2017.
  5. N.H. Tuan, T.B. Ngoc, D. Baleanu and D. O’Regan, ”On well-posedness of the sub-diffusion equation with conformable derivative model,” Communications in Nonlinear Science and Numerical Simulation, vol. 89, pp. 26, 2020.
  6. N.N. Hung, H.D. Binh and N.H. Luc, ”Stochastic sub-diffusion equation with conformable derivative driven by standard Brownian motion,” Advances in Theory of Nonlinear Analysis and its Applications, vol. 5, no. 3, pp. 287–299, 2021.
  7. T.Q. Minh and V.T. Thi, ”Some sharp results about the global existence and blowup of solutions to a class of coupled pseudo-parabolic equations,” J. Math. Anal. Appl.” vol. 506, no. 2, pp. 39, 2022.
  8. N.H. Tuan, V.V.Au and R. Xu, ”Semilinear Caputo time-fractional pseudo-parabolic equations,” Commun. Pure Appl. Anal., vol. 20, no. 2, pp. 583–621, 2021.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

May 1, 2023

Submission Date

March 2, 2023

Acceptance Date

April 19, 2023

Published in Issue

Year 2023 Volume: 20 Number: 1

APA
Nguyen Anh, T., Hung, N., & Nguyen, H. L. (2023). Convergent Result for Linear Conformable Pseudo-parabolic Equation. Cankaya University Journal of Science and Engineering, 20(1), 22-27. https://izlik.org/JA36WU83RX
AMA
1.Nguyen Anh T, Hung N, Nguyen HL. Convergent Result for Linear Conformable Pseudo-parabolic Equation. CUJSE. 2023;20(1):22-27. https://izlik.org/JA36WU83RX
Chicago
Nguyen Anh, Tuan, Ngo Hung, and Hoang Luc Nguyen. 2023. “Convergent Result for Linear Conformable Pseudo-Parabolic Equation”. Cankaya University Journal of Science and Engineering 20 (1): 22-27. https://izlik.org/JA36WU83RX.
EndNote
Nguyen Anh T, Hung N, Nguyen HL (May 1, 2023) Convergent Result for Linear Conformable Pseudo-parabolic Equation. Cankaya University Journal of Science and Engineering 20 1 22–27.
IEEE
[1]T. Nguyen Anh, N. Hung, and H. L. Nguyen, “Convergent Result for Linear Conformable Pseudo-parabolic Equation”, CUJSE, vol. 20, no. 1, pp. 22–27, May 2023, [Online]. Available: https://izlik.org/JA36WU83RX
ISNAD
Nguyen Anh, Tuan - Hung, Ngo - Nguyen, Hoang Luc. “Convergent Result for Linear Conformable Pseudo-Parabolic Equation”. Cankaya University Journal of Science and Engineering 20/1 (May 1, 2023): 22-27. https://izlik.org/JA36WU83RX.
JAMA
1.Nguyen Anh T, Hung N, Nguyen HL. Convergent Result for Linear Conformable Pseudo-parabolic Equation. CUJSE. 2023;20:22–27.
MLA
Nguyen Anh, Tuan, et al. “Convergent Result for Linear Conformable Pseudo-Parabolic Equation”. Cankaya University Journal of Science and Engineering, vol. 20, no. 1, May 2023, pp. 22-27, https://izlik.org/JA36WU83RX.
Vancouver
1.Tuan Nguyen Anh, Ngo Hung, Hoang Luc Nguyen. Convergent Result for Linear Conformable Pseudo-parabolic Equation. CUJSE [Internet]. 2023 May 1;20(1):22-7. Available from: https://izlik.org/JA36WU83RX