Dynamics and stability for Katugampola random fractional differential equations

Dynamics and stability for Katugampola random fractional differential equations

This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Ra...

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Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (8), p.8654-8666
Hauptverfasser: Bekada, Fouzia, Abbas, Saïd, Benchohra, Mouffak, Nieto, Juan J.
Format: Artikel
Sprache:eng
Schlagworte:
banach space
differential equation
Differential equations
fixed point
katugampola fractional derivative
katugampola fractional integral
random solution
ulam stability
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Zusammenfassung:This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section. Keywords: differential equation; Katugampola fractional integral; Katugampola fractional derivative; random solution; Banach space; Ulam stability; fixed point Mathematics Subject Classification: 26A33, 34A37, 34G20
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021503