New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel
type: Item
instance of: scholarly article
title: New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel
zbMATH Open document ID: 1476.26014
author: Maysaa Al Qurashi
author: Saima Rashid
author: Sobia Sultana
author: Hijaz Ahmad
author: K. A. Gepreel
published in: Mathematical Biosciences and Engineering
publication date: 2021-09-09T00:00:00Z
Mathematics Subject Classification ID: 26D15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 33E12
zbMATH DE Number: 7393530
zbMATH Keywords: discrete fractional calculus
zbMATH Keywords: Atangana-Baleanu fractional differences and sums
zbMATH Keywords: discrete Mittag-Leffler function
zbMATH Keywords: Grüss-type inequality
zbMATH Keywords: Young inequality
MaRDI profile type: Publication
full work available at URL: mbe.2021093
OpenAlex ID: W3132323482
cites work: Modeling with fractional difference equations
cites work: Discrete fractional logistic map and its chaos
cites work: New variable-order fractional chaotic systems for fast image encryption
cites work: Unique solutions for a new coupled system of fractional differential equations
cites work: Mathematical analysis of a fractional differential model of HBV infection with antibody immune response
cites work: Differences of Fractional Order
cites work: On a New Definition of the Fractional Difference
cites work: Discrete fractional calculus with the nabla operator
cites work: On delta and nabla Caputo fractional differences and dual identities
cites work: On the definitions of nabla fractional operators
cites work: Fractional difference operators with discrete generalized Mittag-Leffler kernels
cites work: Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
cites work: Variable-order fractional discrete-time recurrent neural networks
cites work: Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
cites work: Continuity of solutions to discrete fractional initial value problems
cites work: Necessary optimality conditions for fractional difference problems of the calculus of variations
cites work: The Laplace transform in discrete fractional calculus
cites work: Estimation of integral inequalities using the generalized fractional derivative operator in the Hilfer sense
cites work: On discrete fractional integral inequalities for a class of functions
cites work: A new approach on fractional calculus and probability density function
cites work: Some unified bounds for exponentially \(tgs\)-convex functions governed by conformable fractional operators
cites work: Some new discrete fractional inequalities and their applications in fractional difference equations
cites work: Some discrete fractional inequalities of Chebyshev type
cites work: Refinements on the discrete Hermite-Hadamard inequality
cites work: Q5487883
cites work: Answers to three conjectures on convexity of three functions involving complete elliptic integrals of the first kind
cites work: Some identities of extended degenerate \(r\)-central Bell polynomials arising from umbral calculus
cites work: Notes on the complete elliptic integral of the first kind
cites work: Über das Maximum des absoluten Betrages von \[ \frac 1{b-a}\int _a^bf(x)g(x)\,dx-\frac 1{(b-a)^2}\int _a^bf(x)\,dx\int _a^bg(x)\,dx. \] .
cites work: Discrete Grüss type inequality on fractional calculus
cites work: Discrete Fractional Calculus
cites work: New modified conformable fractional integral inequalities of Hermite-Hadamard type with applications
cites work: On new unified bounds for a family of functions via fractional \(q\)-calculus theory
cites work: Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences
DOI: 10.3934/MBE.2021093
description: scientific article; zbMATH DE number 7393530