Published October 21, 2020 | Version v1
Publication Open

Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

Creators

  • 1. Autonomous University of Aguascalientes

Description

Abstract In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is a consequence of a Gronwall-type inequality.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

الملخص في هذه الورقة، ندرس استقرار Hyers - Ulam لمعادلة انتشار التفاعل شبه الخطي غير المستقلة. بتعبير أدق، نحن نعتبر معادلة مكافئ قطع مكافئ غير مستقلة مع انتشار قدمه لابلاسيان الكسري. نرى أن مثل هذا الاستقرار هو نتيجة لعدم المساواة من نوع جرونوال.

Translated Description (French)

Résumé Dans cet article, nous étudions la stabilité Hyers-Ulam d'une équation de réaction-diffusion semi-linéaire non autonome. Plus précisément, nous considérons une équation parabolique non autonome avec une diffusion donnée par le laplacien fractionnaire. Nous voyons qu'une telle stabilité est une conséquence d'une inégalité de type Gronwall.

Translated Description (Spanish)

Resumen En este artículo, estudiamos la estabilidad de Hyers-Ulam de una ecuación semilineal no autónoma de reacción-difusión. Más precisamente, consideramos una ecuación parabólica no autónoma con una difusión dada por el laplaciano fraccionario. Vemos que tal estabilidad es consecuencia de una desigualdad de tipo Gronwall.

Files

pdf.pdf

Files (1.1 MB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:27683e9656c40a121d50b64fd663fe3a
1.1 MB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
استقرار Hyers - Ulam لمعادلة شبه خطية غير مستقلة مع انتشار كسور
Translated title (French)
Stabilité Hyers-Ulam d'une équation semi-linéaire non autonome avec diffusion fractionnée
Translated title (Spanish)
Estabilidad de Hyers-Ulam de una ecuación semilineal no autónoma con difusión fraccionada

Identifiers

Other
https://openalex.org/W3097870799
DOI
10.1515/dema-2020-0021

Is supplement to
https://openalex.org/W4387159293 (Other)
https://openalex.org/W4386148387 (Other)
https://openalex.org/W4288359299 (Other)
https://openalex.org/W4280529579 (Other)
https://openalex.org/W2922935260 (Other)
https://openalex.org/W2371764205 (Other)
https://openalex.org/W2326579038 (Other)
https://openalex.org/W2021492437 (Other)
https://openalex.org/W1734603769 (Other)
https://openalex.org/W1592131421 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Mexico

References

  • https://openalex.org/W1973521661
  • https://openalex.org/W2014910702
  • https://openalex.org/W2096035658
  • https://openalex.org/W2198965329
  • https://openalex.org/W2981714108
  • https://openalex.org/W3004873193
  • https://openalex.org/W986594838