Monotonicity results for \(h\)-discrete fractional operators and application (Q1712390)

scientific article; zbMATH DE number 7004558

Language	Label	Description	Also known as
English	Monotonicity results for \(h\)-discrete fractional operators and application	scientific article; zbMATH DE number 7004558

Statements

instance of

scholarly article

0 references

title

Monotonicity results for \(h\)-discrete fractional operators and application (English)

0 references

0 references

0 references

0 references

Advances in Difference Equations

0 references

publication date

22 January 2019

0 references

zbMATH Keywords

nabla Riemann-Liouville \(h\)-fractional difference

0 references

nabla \(h\)-Caputo fractional difference

0 references

\(h\)-discrete fractional mean value theorem

0 references

MaRDI profile type

Publication

0 references

full work available at URL

https://doi.org/10.1186/s13662-018-1660-5

0 references

cites work

Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

0 references

Q3141895

0 references

Q5699297

0 references

Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives

0 references

On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

0 references

Stability analysis of a fractional order differential equation model of a brain tumor growth depending on the density

0 references

Higher order fractional variational optimal control problems with delayed arguments

0 references

Fractional variational optimal control problems with delayed arguments

0 references

Mittag-Leffler stability theorem for fractional nonlinear systems with delay

0 references

Q3468036

0 references

Discrete fractional calculus with the nabla operator

0 references

On Riemann and Caputo fractional differences

0 references

Q3087300

0 references

On the stability of some discrete fractional nonautonomous systems

0 references

Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function

0 references

Initial value problems in discrete fractional calculus

0 references

On the definitions of nabla fractional operators

0 references

Linear systems of fractional nabla difference equations

0 references

Gronwall's inequality on discrete fractional calculus

0 references

Fractional \(h\)-difference equations arising from the calculus of variations

0 references

Existence of a positive solution to a class of fractional differential equations

0 references

Discrete-time fractional variational problems

0 references

Nabla discrete fractional calculus and nabla inequalities

0 references

Discrete fractional logistic map and its chaos

0 references

Discrete Fractional Calculus

0 references

Q3099434

0 references

Dual identities in fractional difference calculus within Riemann

0 references

On delta and nabla Caputo fractional differences and dual identities

0 references

A monotonicity result for discrete fractional difference operators

0 references

Two monotonicity results for nabla and delta fractional differences

0 references

Analysis of discrete fractional operators

0 references

Monotonicity results for delta fractional differences revisited

0 references

A convexity result for fractional differences

0 references

Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities

0 references

An almost sharp monotonicity result for discrete sequential fractional delta differences

0 references

On fractional derivatives with exponential kernel and their discrete versions

0 references

Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

0 references

Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels

0 references

Discrete Mittag-Leffler kernel type fractional difference initial value problems and Gronwall's inequality

0 references

Monotonicity results for fractional difference operators with discrete exponential kernels

0 references

Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel

0 references

Identifiers

zbMATH Open document ID

1446.39022

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

10.1186/S13662-018-1660-5

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:1712390