Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications

Abstract By means of ς fractional sum operator, certain discrete fractional nonlinear inequalities are replicated in this text. Considering the methodology of discrete fractional calculus, we establish estimations of Gronwall type inequalities for unknown functions. These inequalities are of a new f...

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Bibliographic Details
Main Authors: Zareen A. Khan, Fahd Jarad, Aziz Khan, Hasib Khan
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Advances in Difference Equations
Subjects:
Online Access:https://doi.org/10.1186/s13662-021-03257-4