On a Periodic Boundary Value Problem for Fractional Quasilinear Differential Equations with a Self-Adjoint Positive Operator in Hilbert Spaces

On a Periodic Boundary Value Problem for Fractional Quasilinear Differential Equations with a Self-Adjoint Positive Operator in Hilbert Spaces

In this paper we study the existence of a mild solution of a periodic boundary value problem for fractional quasilinear differential equations in a Hilbert spaces. We assume that a linear part in equations is a self-adjoint positive operator with dense domain in Hilbert space and a nonlinear part is...

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Bibliographic Details
Main Authors: Mikhail Kamenskii, Garik Petrosyan, Paul Raynaud de Fitte, Jen-Chih Yao
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Mathematics
Subjects:
fractional differential equation
Caputo fractional derivative
self-adjoint positive operator
fixed point
Mittag–Leffler function
Green function
Online Access:https://www.mdpi.com/2227-7390/10/2/219

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https://www.mdpi.com/2227-7390/10/2/219

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