Qualitative properties of nonlocal discrete operators (Q6088895)

scientific article; zbMATH DE number 7766905

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English	Qualitative properties of nonlocal discrete operators	scientific article; zbMATH DE number 7766905

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instance of

scholarly article

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title

Qualitative properties of nonlocal discrete operators (English)

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zbMATH Open document ID

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Mathematical Methods in the Applied Sciences

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publication date

16 November 2023

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Mathematics Subject Classification ID

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convexity

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convolution

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finite difference

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transference principle

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mma.8174

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OpenAlex ID

W4220874206

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cites work

On a New Definition of the Fractional Difference

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On Riemann and Caputo fractional differences

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Discrete fractional calculus with the nabla operator

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Two-point boundary value problems for finite fractional difference equations

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Discrete maximal regularity of time-stepping schemes for fractional evolution equations

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Discrete maximal regularity for Volterra equations and nonlocal time-stepping schemes

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Monotonicity results for fractional difference operators with discrete exponential kernels

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Initial value problems in discrete fractional calculus

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Necessary optimality conditions for fractional difference problems of the calculus of variations

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Ulam‐Hyers stability of Caputo fractional difference equations

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A discrete fractional Gronwall inequality

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The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter

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Stability analysis of impulsive fractional difference equations

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Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities

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The Cauchy problem for discrete time fractional evolution equations

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Lebesgue regularity for nonlocal time-discrete equations with delays

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lp-maximal regularity for fractional difference equations on UMD spaces

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Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations

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The Poisson distribution, abstract fractional difference equations, and stability

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A monotonicity result for discrete fractional difference operators

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Survey of the qualitative properties of fractional difference operators: monotonicity, convexity, and asymptotic behavior of solutions

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A convexity result for fractional differences

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An almost sharp monotonicity result for discrete sequential fractional delta differences

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On discrete sequential fractional boundary value problems

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Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions

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Sum and Difference Compositions in Discrete Fractional Calculus

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A uniformly sharp monotonicity result for discrete fractional sequential differences

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A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity

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Monotonicity results for delta fractional differences revisited

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A note on convexity, concavity, and growth conditions in discrete fractional calculus with delta difference

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Two monotonicity results for nabla and delta fractional differences

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Positivity and monotonicity results for triple sequential fractional differences via convolution

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Analysis of discrete fractional operators

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Monotonicity and non-monotonicity results for sequential fractional delta differences of mixed order

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An analysis of the sharpness of monotonicity results via homotopy for sequential fractional operators

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The relationship between sequential fractional differences and convexity

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Q3468036

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Convex Functions on Discrete Time Domains

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Convexity for nabla and delta fractional differences

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A sharp convexity result for sequential fractional delta differences

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mardi Publication:6088895