Life Span of Solutions for a Time Fractional Reaction-Diffusion Equation with Non-Decaying Initial Data

1
Takefumi Igarashi
Takefumi Igarashi
1 Nihon University

Send Message

To: Author

GJSFR Volume 22 Issue F2

Article Fingerprint

ReserarchID

HLVTU

Life Span of Solutions for a Time Fractional Reaction-Diffusion Equation with Non-Decaying Initial Data Banner
  • English
  • Afrikaans
  • Albanian
  • Amharic
  • Arabic
  • Armenian
  • Azerbaijani
  • Basque
  • Belarusian
  • Bengali
  • Bosnian
  • Bulgarian
  • Catalan
  • Cebuano
  • Chichewa
  • Chinese (Simplified)
  • Chinese (Traditional)
  • Corsican
  • Croatian
  • Czech
  • Danish
  • Dutch
  • Esperanto
  • Estonian
  • Filipino
  • Finnish
  • French
  • Frisian
  • Galician
  • Georgian
  • German
  • Greek
  • Gujarati
  • Haitian Creole
  • Hausa
  • Hawaiian
  • Hebrew
  • Hindi
  • Hmong
  • Hungarian
  • Icelandic
  • Igbo
  • Indonesian
  • Irish
  • Italian
  • Japanese
  • Javanese
  • Kannada
  • Kazakh
  • Khmer
  • Korean
  • Kurdish (Kurmanji)
  • Kyrgyz
  • Lao
  • Latin
  • Latvian
  • Lithuanian
  • Luxembourgish
  • Macedonian
  • Malagasy
  • Malay
  • Malayalam
  • Maltese
  • Maori
  • Marathi
  • Mongolian
  • Myanmar (Burmese)
  • Nepali
  • Norwegian
  • Pashto
  • Persian
  • Polish
  • Portuguese
  • Punjabi
  • Romanian
  • Russian
  • Samoan
  • Scots Gaelic
  • Serbian
  • Sesotho
  • Shona
  • Sindhi
  • Sinhala
  • Slovak
  • Slovenian
  • Somali
  • Spanish
  • Sundanese
  • Swahili
  • Swedish
  • Tajik
  • Tamil
  • Telugu
  • Thai
  • Turkish
  • Ukrainian
  • Urdu
  • Uzbek
  • Vietnamese
  • Welsh
  • Xhosa
  • Yiddish
  • Yoruba
  • Zulu

We consider the Cauchy problem of time fractional reaction-diffusion equation where 0 < α 1 and denotes the Caputo time fractional derivative of order α. The initial condition is assumed to be nonnegative and bounded continuous function. For the nondecaying initial data at space infinity, we show that the positive solution blows up in finite time and give the estimate of the life span of positive solutions. It is also given blow-up time of the solutions when the initial data attain its maximum at space infinity.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

Takefumi Igarashi. 2026. \u201cLife Span of Solutions for a Time Fractional Reaction-Diffusion Equation with Non-Decaying Initial Data\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 22 (GJSFR Volume 22 Issue F2): .

Download Citation

A detailed look at solutions to time fractional reaction-diffusion equations and their lifespan in mathematical modeling.
Issue Cover
GJSFR Volume 22 Issue F2
Pg. 13- 27
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: MSC 2020: 35B44, 35K15, 35R11, 26A33, 35K57.
Version of record

v1.2

Issue date

June 1, 2022

Language

English

Experiance in AR

The methods for personal identification and authentication are no exception.

Read in 3D

The methods for personal identification and authentication are no exception.

Article Matrices
Total Views: 1669
Total Downloads: 22
2026 Trends
Research Identity (RIN)
Related Research

Published Article

We consider the Cauchy problem of time fractional reaction-diffusion equation where 0 < α 1 and denotes the Caputo time fractional derivative of order α. The initial condition is assumed to be nonnegative and bounded continuous function. For the nondecaying initial data at space infinity, we show that the positive solution blows up in finite time and give the estimate of the life span of positive solutions. It is also given blow-up time of the solutions when the initial data attain its maximum at space infinity.

Our website is actively being updated, and changes may occur frequently. Please clear your browser cache if needed. For feedback or error reporting, please email [email protected]
×

This Page is Under Development

We are currently updating this article page for a better experience.

Request Access

Please fill out the form below to request access to this research paper. Your request will be reviewed by the editorial or author team.
X

Quote and Order Details

Contact Person

Invoice Address

Notes or Comments

This is the heading

Lorem ipsum dolor sit amet, consectetur adipiscing elit. Ut elit tellus, luctus nec ullamcorper mattis, pulvinar dapibus leo.

High-quality academic research articles on global topics and journals.

Life Span of Solutions for a Time Fractional Reaction-Diffusion Equation with Non-Decaying Initial Data

Takefumi Igarashi
Takefumi Igarashi Nihon University

Research Journals