Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions

ABSTRACT In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an ap- proach in the existing literature. Their findings extend and complement ce...

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Detalles Bibliográficos
Autores: Srivastava,Satyam Narayan, Pati,Smita, Graef,John R., Domoshnitsky,Alexander, Padhi,Seshadev
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:Chile
Institución:Agencia Nacional de Investigación y Desarrollo
Repositorio:SciELO Chile
OAI Identifier:oai:scielo:S0719-06462024000200259
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462024000200259
Access Level:acceso abierto
Palabra clave:Fractional integral
Caputo fractional derivative
boundary value problem
existence of solution
Lyapunov inequality
Green’s function
Descripción
Sumario:ABSTRACT In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an ap- proach in the existing literature. Their findings extend and complement certain prior results in the literature.