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

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