Fractional order continuity of a time semi-linear fractional diffusion-wave system

Fractional order continuity of a time semi-linear fractional diffusion-wave system

In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect to the fractional derivative order. We find the...

Full description

Bibliographic Details
Main Authors: Nguyen Duc Phuong, Luu Vu Cam Hoan, Erdal Karapinar, Jagdev Singh, Ho Duy Binh, Nguyen Huu Can
Format: Article
Language:English
Published: Elsevier 2020-12-01
Series:Alexandria Engineering Journal
Subjects:
Initial value problem
Time a semi-linear fractional diffusion
Regularity
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016820304531
id doaj-c1523835c1014713a60e89d5bc4227c2
record_format Article
spelling doaj-c1523835c1014713a60e89d5bc4227c22021-06-02T15:22:21ZengElsevierAlexandria Engineering Journal1110-01682020-12-0159649594968Fractional order continuity of a time semi-linear fractional diffusion-wave systemNguyen Duc Phuong0Luu Vu Cam Hoan1Erdal Karapinar2Jagdev Singh3Ho Duy Binh4Nguyen Huu Can5Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Viet NamInstitute of Research and Development, Duy Tan University, Danang 550000, Viet Nam; Faculty of Natural Sciences, Duy Tan University, Danang 550000, Viet NamDepartment of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan; Department of Mathematics, Cankaya University, Ankara, TurkeyDepartment of Mathematics, JECRC University, Jaipur 303905, Rajasthan, IndiaDivision of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet NamApplied Analysis Research Group, Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam; Corresponding author.In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect to the fractional derivative order. We find the answer to the question: When the fractional orders get closer, are the corresponding solutions close? To answer this question, we present some depth theories on PDEs and fractional calculus. In addition, we add an example numerical to verify the proposed theory.http://www.sciencedirect.com/science/article/pii/S1110016820304531Initial value problemTime a semi-linear fractional diffusionRegularity
collection DOAJ
language English
format Article
sources DOAJ
author Nguyen Duc Phuong
Luu Vu Cam Hoan
Erdal Karapinar
Jagdev Singh
Ho Duy Binh
Nguyen Huu Can
spellingShingle Nguyen Duc Phuong
Luu Vu Cam Hoan
Erdal Karapinar
Jagdev Singh
Ho Duy Binh
Nguyen Huu Can
Fractional order continuity of a time semi-linear fractional diffusion-wave system
Alexandria Engineering Journal
Initial value problem
Time a semi-linear fractional diffusion
Regularity
author_facet Nguyen Duc Phuong
Luu Vu Cam Hoan
Erdal Karapinar
Jagdev Singh
Ho Duy Binh
Nguyen Huu Can
author_sort Nguyen Duc Phuong
title Fractional order continuity of a time semi-linear fractional diffusion-wave system
title_short Fractional order continuity of a time semi-linear fractional diffusion-wave system
title_full Fractional order continuity of a time semi-linear fractional diffusion-wave system
title_fullStr Fractional order continuity of a time semi-linear fractional diffusion-wave system
title_full_unstemmed Fractional order continuity of a time semi-linear fractional diffusion-wave system
title_sort fractional order continuity of a time semi-linear fractional diffusion-wave system
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2020-12-01
description In this work, we consider the time-fractional diffusion equations depend on fractional orders. In more detail, we study on the initial value problems for the time semi-linear fractional diffusion-wave system and discussion about continuity with respect to the fractional derivative order. We find the answer to the question: When the fractional orders get closer, are the corresponding solutions close? To answer this question, we present some depth theories on PDEs and fractional calculus. In addition, we add an example numerical to verify the proposed theory.
topic Initial value problem
Time a semi-linear fractional diffusion
Regularity
url http://www.sciencedirect.com/science/article/pii/S1110016820304531
work_keys_str_mv AT nguyenducphuong fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
AT luuvucamhoan fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
AT erdalkarapinar fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
AT jagdevsingh fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
AT hoduybinh fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
AT nguyenhuucan fractionalordercontinuityofatimesemilinearfractionaldiffusionwavesystem
_version_ 1721403292427223040

Similar Items