Determine unknown source problem for time fractional pseudo-parabolic equation with Atangana-Baleanu Caputo fractional derivative-Reference-Cited by-同舟云学术

Determine unknown source problem for time fractional pseudo-parabolic equation with Atangana-Baleanu Caputo fractional derivative

Published:2022 Issue:9 Volume:7 Page:16147-16170
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Phuong Nguyen Duc¹,Long Le Dinh²³,Kumar Devender⁴,Binh Ho Duy⁵

Affiliation:

1. Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Vietnam

2. Division of Applied Mathematics, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam

3. Faculty of Applied Technology, School of Engineering and Technology, Van Lang University, Ho Chi Minh City, Vietnam

4. Department of Mathematics, University of Rajasthan, Jaipur-302004, India

5. Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Vietnam

Abstract

<abstract><p>In this paper, we consider a pseudo-parabolic equation with the Atangana-Baleanu Caputo fractional derivative. Our main tool here is using fundamental tools, namely the Fractional Tikhonov method and the generalized Tikhonov method, the error estimate is shown. Finally, we provided numerical experiments to prove the correctness of our theory.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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