Mixed order monotonicity results for sequential fractional nabla differences
From MaRDI portal
Publication:5231274
DOI10.1080/10236198.2018.1561883zbMath1421.39006OpenAlexW2908407182WikidataQ114099710 ScholiaQ114099710MaRDI QIDQ5231274
Christopher S. Goodrich, Rajendra Dahal
Publication date: 26 August 2019
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2018.1561883
Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70)
Related Items (9)
Analysis of convexity results for discrete fractional nabla operators ⋮ Analytical and numerical monotonicity results for discrete fractional sequential differences with negative lower bound ⋮ Positivity and monotonicity results for triple sequential fractional differences via convolution ⋮ On positivity and monotonicity analysis for discrete fractional operators with discrete Mittag–Leffler kernel ⋮ Analytical results for positivity of discrete fractional operators with approximation of the domain of solutions ⋮ An analysis of polynomial sequences and their application to discrete fractional operators ⋮ A uniformly sharp convexity result for discrete fractional sequential differences ⋮ Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound ⋮ Monotonicity results for sequential fractional differences of mixed orders with negative lower bound
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Gronwall fractional summation inequalities and their applications
- Linear systems of fractional nabla difference equations
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- On discrete sequential fractional boundary value problems
- The Laplace transform in discrete fractional calculus
- On Riemann and Caputo fractional differences
- \(\ell_p\)-maximal regularity for a class of fractional difference equations on UMD spaces: the case \(1<\alpha\leq2\)
- Nabla discrete fractional calculus and nabla inequalities
- Monotonicity results for fractional difference operators with discrete exponential kernels
- Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel
- A uniformly sharp monotonicity result for discrete fractional sequential differences
- Well posedness for semidiscrete fractional Cauchy problems with finite delay
- Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order
- Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions
- New monotonicity conditions in discrete fractional calculus with applications to extremality conditions
- Different type kernel \(h\)-fractional differences and their fractional \(h\)-sums
- Monotonicity analysis for nabla h-discrete fractional Atangana-Baleanu differences
- On delta and nabla Caputo fractional differences and dual identities
- Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities
- A convexity result for fractional differences
- Two monotonicity results for nabla and delta fractional differences
- Symmetric duality for left and right Riemann-Liouville and Caputo fractional differences
- Dual identities in fractional difference calculus within Riemann
- A monotonicity result for discrete fractional difference operators
- A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference
- Monotonicity and convexity for nabla fractional (q, h)-differences
- Two-point boundary value problems for finite fractional difference equations
- Sum and Difference Compositions in Discrete Fractional Calculus
- A sharp convexity result for sequential fractional delta differences
- Discrete Fractional Calculus
- lp-maximal regularity for fractional difference equations on UMD spaces
- Discrete fractional calculus with the nabla operator
- Initial value problems in discrete fractional calculus
- A New Approach for Modeling with Discrete Fractional Equations
- An almost sharp monotonicity result for discrete sequential fractional delta differences
- Lebesgue regularity for differential difference equations with fractional damping
- The relation between Nabla fractional differences and Nabla integer differences
- Monotonicity results for delta and nabla caputo and Riemann fractional differences via dual identities
- Convexity for nabla and delta fractional differences
- The Poisson distribution, abstract fractional difference equations, and stability
- Analysis of discrete fractional operators
- The relationship between sequential fractional differences and convexity
- Monotonicity results for delta fractional differences revisited
- A discrete fractional Gronwall inequality
- A monotonicity result for the $q-$fractional operator
This page was built for publication: Mixed order monotonicity results for sequential fractional nabla differences
