Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion
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.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion ; volume:53 ; number:1 ; year:2020 ; pages:269-276 ; extent:8
Demonstratio mathematica ; 53, Heft 1 (2020), 269-276 (gesamt 8)
- Urheber
-
Villa-Morales, José
- DOI
-
10.1515/dema-2020-0021
- URN
-
urn:nbn:de:101:1-2411181504263.019455116011
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:29 MESZ
Datenpartner
Dieses Objekt wird bereitgestellt von:
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Villa-Morales, José
Ähnliche Objekte (12)
Ulam stability for nonautonomous quantum equations
Nonautonomous semilinear Wentzell problems in fractal domains
On a semilinear mixed fractional heat equation driven by fractional Brownian sheet
Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
Nonautonomous fractional evolution equations
On Ulam Stability of a Generalized Delayed Differential Equation of Fractional Order
Ulam’s stability for some linear conformable fractional differential equations
High-order schemes based on extrapolation for semilinear fractional differential equation
Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations
Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam–Hyers stability
Positive solutions and persistence of mass for a nonautonomous equation with fractional diffusion
Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation
Ulam stability for nonautonomous quantum equations
Nonautonomous semilinear Wentzell problems in fractal domains
On a semilinear mixed fractional heat equation driven by fractional Brownian sheet
Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
Nonautonomous fractional evolution equations
On Ulam Stability of a Generalized Delayed Differential Equation of Fractional Order
Ulam’s stability for some linear conformable fractional differential equations
High-order schemes based on extrapolation for semilinear fractional differential equation
Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations
Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam–Hyers stability
Positive solutions and persistence of mass for a nonautonomous equation with fractional diffusion
Well-posedness of the solution of the fractional semilinear pseudo-parabolic equation
Ulam stability for nonautonomous quantum equations
Nonautonomous semilinear Wentzell problems in fractal domains
On a semilinear mixed fractional heat equation driven by fractional Brownian sheet
Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach
Nonautonomous fractional evolution equations
On Ulam Stability of a Generalized Delayed Differential Equation of Fractional Order
Ulam’s stability for some linear conformable fractional differential equations
High-order schemes based on extrapolation for semilinear fractional differential equation
Hyers–Ulam stability of non-autonomous and nonsingular delay difference equations
Nonlinear fractional differential equation involving two mixed fractional orders with nonlocal boundary conditions and Ulam–Hyers stability
Positive solutions and persistence of mass for a nonautonomous equation with fractional diffusion