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

Open Access

Original research article

Author(s):

Nguyen Duc Phuong^a, Long Le Dinh^*b, Tuan Nguyen Anh^b, Ho Duy Binh^*b

^a Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam.
^b Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam.

Advances in the Theory of Nonlinear Analysis and its Applications 6(3), 405-419.

Received: July 2, 2021

Accepted: May 31, 2022

Published: June 6, 2022

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 wa is continuously with respect to fractional order a in the appropriate sense.

Keywords: Pseudo-parabolic, System of equations, Initial value, Regularization, Caputo derivative, Fractional order.

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APA Style

Phuong, N. D., Anh, T. N., & Binh, H. (2022). Stability of a nonlinear fractional pseudo-parabolic equation system regarding fractional order of the time. Advances in the Theory of Nonlinear Analysis and its Application, 6(3), 405-419.