Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order
From MaRDI portal
Publication:1752991
DOI10.1007/s11117-017-0527-4zbMath1390.39062OpenAlexW2754598354MaRDI QIDQ1752991
Publication date: 25 May 2018
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-017-0527-4
Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) Monotonic functions, generalizations (26A48)
Related Items (11)
Analysis of convexity results for discrete fractional nabla operators ⋮ A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity ⋮ Positivity and monotonicity results for triple sequential fractional differences via convolution ⋮ Qualitative properties of nonlocal discrete operators ⋮ On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ A uniformly sharp convexity result for discrete fractional sequential differences ⋮ Sharp monotonicity results for fractional nabla sequential differences ⋮ Mixed order monotonicity results for sequential fractional nabla differences ⋮ Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized Gronwall fractional summation inequalities and their applications
- Multiplicity and uniqueness for a class of discrete fractional boundary value problems.
- Linear systems of fractional nabla difference equations
- Positive solutions for a class of boundary value problems with fractional \(q\)-differences
- On discrete sequential fractional boundary value problems
- Boundary value problems for a new class of three-point nonlocal Riemann-Liouville integral boundary conditions
- \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\)
- Modeling with fractional difference equations
- Nabla discrete fractional calculus and nabla inequalities
- A uniformly sharp monotonicity result for discrete fractional sequential differences
- Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
- On a first-order semipositone discrete fractional boundary value problem
- New monotonicity conditions in discrete fractional calculus with applications to extremality conditions
- On delta and nabla Caputo fractional differences and dual identities
- A convexity result for fractional differences
- Two monotonicity results for nabla and delta fractional differences
- Dual identities in fractional difference calculus within Riemann
- Asymptotic behavior of solutions of fractional nabla \(q\)-difference equations
- Discrete fractional logistic map and its chaos
- A monotonicity result for discrete fractional difference operators
- Comparison theorems and asymptotic behavior of solutions of discrete fractional equations
- A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference
- Systems of semipositone discrete fractional boundary value problems
- Two-point boundary value problems for finite fractional difference equations
- Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
- Sum and Difference Compositions in Discrete Fractional Calculus
- A sharp convexity result for sequential fractional delta differences
- Discrete Fractional Calculus
- Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions
- Discrete fractional calculus with the nabla operator
- Initial value problems in discrete fractional calculus
- An almost sharp monotonicity result for discrete sequential fractional delta differences
- The relation between Nabla fractional differences and Nabla integer differences
- Convexity for nabla and delta fractional differences
- Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions
- Analysis of discrete fractional operators
- The relationship between sequential fractional differences and convexity
- Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one
- Monotonicity results for delta fractional differences revisited
- A discrete fractional Gronwall inequality
- Exponential functions of discrete fractional calculus
This page was built for publication: Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order
