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Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications.
- Source :
-
Advances in Difference Equations . 2/4/2021, Vol. 2021 Issue 1, p1-13. 13p. - Publication Year :
- 2021
-
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 form comparative with the current writing discoveries up until this point and can be viewed as a supportive strategy to assess the solutions of discrete partial differential equations numerically. We show a couple of employments of the compensated inequalities to reflect the benefits of our work. The main outcomes might be demonstrated by the use of the examination procedure and the approach of the mean value hypothesis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FRACTIONAL calculus
*GRONWALL inequalities
*PARTIAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 148497808
- Full Text :
- https://doi.org/10.1186/s13662-021-03257-4