On Discrete Fractional Integral Inequalities for a Class of Functions
Joint Authors
Chu, Yu-Ming
Ahmad, Hijaz
Rashid, Saima
Khalid, Aasma
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Discrete fractional calculus ℱC is proposed to depict neural systems with memory impacts.
This research article aims to investigate the consequences in the frame of the discrete proportional fractional operator.
ℏ-discrete exponential functions are assumed in the kernel of the novel generalized fractional sum defined on the time scale ℏℤ.
The nabla ℏ-fractional sums are accounted in particular.
The governing high discretization of problems is an advanced version of the existing forms that can be transformed into linear and nonlinear difference equations using appropriately adjusted transformations invoking property of observing the new chaotic behaviors of the logistic map.
Based on the theory of discrete fractional calculus, explicit bounds for a class of positive functions nn∈ℕ concerned are established.
These variants can be utilized as a convenient apparatus in the qualitative analysis of solutions of discrete fractional difference equations.
With respect to applications, we can apply the introduced outcomes to explore boundedness, uniqueness, and continuous reliance on the initial value problem for the solutions of certain underlying worth problems of fractional difference equations.
American Psychological Association (APA)
Rashid, Saima& Ahmad, Hijaz& Khalid, Aasma& Chu, Yu-Ming. 2020. On Discrete Fractional Integral Inequalities for a Class of Functions. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144879
Modern Language Association (MLA)
Rashid, Saima…[et al.]. On Discrete Fractional Integral Inequalities for a Class of Functions. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1144879
American Medical Association (AMA)
Rashid, Saima& Ahmad, Hijaz& Khalid, Aasma& Chu, Yu-Ming. On Discrete Fractional Integral Inequalities for a Class of Functions. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1144879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144879