Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications
From MaRDI portal
Publication:2166797
DOI10.1186/S13662-021-03257-4zbMath1494.26009OpenAlexW3164203809MaRDI QIDQ2166797
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03257-4
fractional difference equationGronwall inequalitydiscrete fractional difference inequalityfractional sum inequality
Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13)
Related Items (2)
A fractional order covid-19 epidemic model with Mittag-Leffler kernel ⋮ Uniqueness of solutions, stability and simulations for a differential problem involving convergent series and time variable singularities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Necessary optimality conditions for fractional difference problems of the calculus of variations
- On Riemann and Caputo fractional differences
- Continuity of solutions to discrete fractional initial value problems
- Modeling with fractional difference equations
- Association of Jensen's inequality for \(s\)-convex function with Csiszár divergence
- Study on the estimates of Gronwall-Ou-Iang dynamic integral inequalities by means of diamond-\(\alpha\) derivatives
- Solvability for a class of integral inequalities with maxima on the theory of time scales and their applications
- Integral majorization type inequalities for the functions in the sense of strong convexity
- On some explicit bounds of integral inequalities related to time scales
- Hermite-Hadamard-Fejér inequalities for conformable fractional integrals via preinvex functions
- Two-point boundary value problems for finite fractional difference equations
- Sum and Difference Compositions in Discrete Fractional Calculus
- Some new discrete fractional inequalities and their applications in fractional difference equations
- Discrete fractional calculus with the nabla operator
- Initial value problems in discrete fractional calculus
- On a New Definition of the Fractional Difference
- Exponential Laws for Fractional Differences
- Coordinate strongly s-convex functions and related results
- Hadamard-type fractional differential equations for the system of integral inequalities on time scales
This page was built for publication: Nonlinear discrete fractional sum inequalities related to the theory of discrete fractional calculus with applications