Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order
type: Item
instance of: scholarly article
title: Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order
zbMATH Open document ID: 1390.39062
published in: Positivity
publication date: 2018-05-25T00:00:00Z
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 26A48
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6873076
zbMATH Keywords: discrete fractional calculus
zbMATH Keywords: monotonicity
zbMATH Keywords: sequential fractional delta difference
author: Christopher Goodrich
MaRDI profile type: Publication
full work available at URL: s11117-017-0527-4
OpenAlex ID: W2754598354
cites work: Dual identities in fractional difference calculus within Riemann
cites work: On delta and nabla Caputo fractional differences and dual identities
cites work: Nabla discrete fractional calculus and nabla inequalities
cites work: Exponential functions of discrete fractional calculus
cites work: Discrete fractional calculus with the nabla operator
cites work: Initial value problems in discrete fractional calculus
cites work: Two-point boundary value problems for finite fractional difference equations
cites work: Linear systems of fractional nabla difference equations
cites work: Modeling with fractional difference equations
cites work: Analysis of discrete fractional operators
cites work: The relation between Nabla fractional differences and Nabla integer differences
cites work: Monotonicity results for delta fractional differences revisited
cites work: Systems of semipositone discrete fractional boundary value problems
cites work: A monotonicity result for discrete fractional difference operators
cites work: An almost sharp monotonicity result for discrete sequential fractional delta differences
cites work: New monotonicity conditions in discrete fractional calculus with applications to extremality conditions
cites work: Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
cites work: Nontrivial solutions for fractional q -difference boundary value problems
cites work: Positive solutions for a class of boundary value problems with fractional \(q\)-differences
cites work: A discrete fractional Gronwall inequality
cites work: Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one
cites work: Q4924151
cites work: On discrete sequential fractional boundary value problems
cites work: On a first-order semipositone discrete fractional boundary value problem
cites work: A convexity result for fractional differences
cites work: Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions
cites work: A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference
cites work: The relationship between sequential fractional differences and convexity
cites work: A sharp convexity result for sequential fractional delta differences
cites work: A uniformly sharp monotonicity result for discrete fractional sequential differences
cites work: Discrete Fractional Calculus
cites work: Sum and Difference Compositions in Discrete Fractional Calculus
cites work: Two monotonicity results for nabla and delta fractional differences
cites work: Convexity for nabla and delta fractional differences
cites work: Q5502300
cites work: Asymptotic behavior of solutions of fractional nabla \(q\)-difference equations
cites work: Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
cites work: \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\)
cites work: Multiplicity and uniqueness for a class of discrete fractional boundary value problems.
cites work: Boundary value problems for a new class of three-point nonlocal Riemann-Liouville integral boundary conditions
cites work: Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions
cites work: Discrete fractional logistic map and its chaos
cites work: Generalized Gronwall fractional summation inequalities and their applications
DOI: 10.1007/S11117-017-0527-4
description: scientific article; zbMATH DE number 6873076