Geodesic
Ulam type stability of $\psi $-Riemann-Liouville fractional differential equations using $\left( k,\psi \right) $-generalized Laplace transform
Mısır, A.1 ; Cengizhan, E.2 ; Başcı, Y.3
1 Department of Mathematics, Faculty of Sciences, Gazi University, Ankara, Turkey
2 Department of Mathematics, Graduate School of Natural and Applied Sciences, Gazi University, Ankara, Turkey
3 Department of Mathematics, Faculty of Art and Sciences, Bolu Abant Izzet Baysal University, Bolu, Turkey
Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 2, p. 100-114.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The primary objective of this paper is to explore the Hyers-Ulam stability of the $\psi $-Riemann-Liouville fractional differential equations by employing the $(k,\psi )$-generalized Laplace transform method. The outcomes of our investigation represent advancements over certain existing results in the literature. Furthermore, we present illustrative examples to elucidate our primary findings.
DOI : 10.22436/jnsa.017.02.03
Classification : 34K20, 26D10, 44A10, 26A33, 33B15
Keywords: Hyers-Ulam stability, Riemann-Liouville fractional derivative, linear differential equation, \(\left( k,\psi \right) \)-generalized Laplace transform

Mısır, A. 1 ; Cengizhan, E. 2 ; Başcı, Y. 3

1 Department of Mathematics, Faculty of Sciences, Gazi University, Ankara, Turkey
2 Department of Mathematics, Graduate School of Natural and Applied Sciences, Gazi University, Ankara, Turkey
3 Department of Mathematics, Faculty of Art and Sciences, Bolu Abant Izzet Baysal University, Bolu, Turkey 
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Mısır, A.; Cengizhan, E.; Başcı, Y. Ulam type stability of \(\psi \)-Riemann-Liouville 	fractional differential equations using \(\left( k,\psi \right) \)-generalized Laplace transform. Journal of nonlinear sciences and its applications, Tome 17 (2024) no. 2, p. 100-114. doi : 10.22436/jnsa.017.02.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.017.02.03/

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