A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators

A Class of Quasilinear Equations with Riemann–Liouville Derivatives and Bounded Operators

The existence and uniqueness of a local solution is proved for the incomplete Cauchy type problem to multi-term quasilinear fractional differential equations in Banach spaces with Riemann–Liouville derivatives and bounded operators at them. Nonlinearity in the equation is assumed to be Lipschitz con...

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Bibliographic Details
Main Authors: Vladimir E. Fedorov, Mikhail M. Turov, Bui Trong Kien
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Axioms
Subjects:
multi-term fractional differential equation
quasilinear equation
Riemann–Liouville fractional derivative
defect of Cauchy type problem
fixed point theorem
initial-boundary value problem
Online Access:https://www.mdpi.com/2075-1680/11/3/96

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https://www.mdpi.com/2075-1680/11/3/96

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