On the Initial Value Problems for Caputo-Type Generalized Proportional Vector-Order Fractional Differential Equations

On the Initial Value Problems for Caputo-Type Generalized Proportional Vector-Order Fractional Differential Equations

A generalized proportional vector-order fractional derivative in the Caputo sense is defined and studied. Two types of existence results for the mild solutions of the initial value problem for nonlinear Caputo-type generalized proportional vector-order fractional differential equations are obtained....

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Bibliographic Details
Main Authors: Mohamed I. Abbas, Snezhana Hristova
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Mathematics
Subjects:
vector-order fractional derivatives
generalized proportional fractional derivatives
Leray–Schauder nonlinear alternative
Online Access:https://www.mdpi.com/2227-7390/9/21/2720

Internet

https://www.mdpi.com/2227-7390/9/21/2720

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