A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives

A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives

Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator <i>A</i>, are studied. The issues of unique solvability of the Cauchy problem to such equations are con...

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Bibliographic Details
Main Authors: Vladimir E. Fedorov, Nikolay V. Filin
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Mathematics
Subjects:
distributed fractional derivative
fractional differential equation
Cauchy problem
quasiliner equation
fixed point theorem
initial boundary value problem
Online Access:https://www.mdpi.com/2227-7390/11/11/2472

Internet

https://www.mdpi.com/2227-7390/11/11/2472

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