On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors

Kamel Tablennehas; Zoubir Dahmani; Meriem Mansouria Belhamiti; Amira Abdelnebi; Mehmet Zeki Sarikaya

doi:10.1186/s13662-021-03483-w

Advances in Difference Equations (Jul 2021)

On a fractional problem of Lane–Emden type: Ulam type stabilities and numerical behaviors

Kamel Tablennehas,
Zoubir Dahmani,
Meriem Mansouria Belhamiti,
Amira Abdelnebi,
Mehmet Zeki Sarikaya

Affiliations

Kamel Tablennehas: Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Informatics, University of Mostaganem
Zoubir Dahmani: Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Informatics, University of Mostaganem
Meriem Mansouria Belhamiti: Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Informatics, University of Mostaganem
Amira Abdelnebi: Laboratory of Pure and Applied Mathematics, Faculty of Exact Sciences and Informatics, University of Mostaganem
Mehmet Zeki Sarikaya: Department of Mathematics, Faculty of Science and Arts, Düzce University

DOI: https://doi.org/10.1186/s13662-021-03483-w
Journal volume & issue: Vol. 2021, no. 1
pp. 1 – 19

Abstract

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Abstract In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane–Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

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Abstract

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