New generalizations for Gronwall type inequalities involving a ψ-fractional operator and their applications

New generalizations for Gronwall type inequalities involving a ψ-fractional operator and their applications

In this paper, we provide new generalizations for the Gronwall's inequality in terms of a ψ-fractional operator. The new forms of Gronwall's inequality are obtained within a general platform that includes several existing results as particular cases. To apply our results and examine their...

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Bibliographic Details
Main Authors: Jehad Alzabut, Yassine Adjabi, Weerawat Sudsutad, Mutti-Ur Rehman
Format: Article
Language:English
Published: AIMS Press 2021-03-01
Series:AIMS Mathematics
Subjects:
ψ-fractional operators
generalized gronwall's inequality
ψ-fractional initial value problem
existence and uniqueness
ulam-hyers stability
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021299?viewType=HTML

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http://www.aimspress.com/article/doi/10.3934/math.2021299?viewType=HTML

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