On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity-Reference-Cited by-同舟云学术

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On local existence and blowup of solutions for a time‐space fractional diffusion equation with exponential nonlinearity

Published:2019-01-15 Issue:6 Volume:42 Page:1819-1830
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Meth Appl Sci

Author:

Bekkai Achouak¹,Rebiai Belgacem¹^ORCID,Kirane Mokhtar²³

Affiliation:

1. LAMIS Laboratory, Department of Mathematics and InformaticUniversity of Larbi Tebessi Tebessa Algeria

2. LaSIE, Faculté des Sciences, Pôle Sciences et TechnologieUniversité de La Rochelle La Rochelle Cedex France

3. NAAM Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz University Jeddah Saudi Arabia

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.5476

Reference13 articles.

1. Existence and uniqueness for a nonlinear fractional differential equation;Delbosco D;Quart Appl Math,1996

2. Some applications of nonlinear fractional differential equations and their approximations;He JH;Bull Sci Technol,1999

3. Approximate analytical solution for seepage flow with fractional derivatives in porous media

4. Lecture Notes in Computational Science and Engineering;Mainardi F,1997

5. On a reaction diffusion equation with nonlinear time-nonlocal source term

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2. Local/global existence analysis of fractional wave equations with exponential nonlinearity;Bulletin des Sciences Mathématiques;2023-12

3. Time-Space Fractional Diffusion Problems: Existence, Decay Estimates and Blow-Up of Solutions;Milan Journal of Mathematics;2022-03-22

4. A nonlinear fractional diffusion equation: Well-posedness, comparison results, and blow-up;Journal of Mathematical Analysis and Applications;2022-01

5. Globally unsolvability of integro-differential diffusion equation and system with exponential nonlinearities;Turkish Journal of Mathematics;2022-01-01

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