C-Semigroups, subordination principle and the Lévy α-stable distribution on discrete time

DOI10.1142/S0219199720500637zbMath1485.39005OpenAlexW3103099538MaRDI QIDQ5062144

Stiven Díaz, Edgardo Alvarez, Carlos Lizama

Publication date: 15 March 2022

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199720500637

zbMATH Keywords

Poisson transformfractional difference operatorMittag-Leffler sequencediscrete Lévy \(\alpha\)-stable distributiondiscrete time fractional evolution equationsHilfer difference operator

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference operators (39A70) (C)-semigroups, regularized semigroups (47D60)

Related Items (3)

Time discrete abstract fractional Volterra equations via resolvent sequences ⋮ Discretization of C0$$ {C}_0 $$‐semigroups and discrete semigroups of operators in Banach spaces ⋮ Existence of \((N, \lambda)\)-periodic solutions for abstract fractional difference equations

Cites Work

• Unnamed Item
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• Cesàro sums and algebra homomorphisms of bounded operators
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Discrete maximal regularity of time-stepping schemes for fractional evolution equations
• The \(\mathcal{Z}\)-transform method and delta type fractional difference operators
• On well-posedness of vector-valued fractional differential-difference equations
• \(C\)-semigroups and the Cauchy problem
• On Hilfer fractional difference operator
• A transference principle for nonlocal operators using a convolutional approach: fractional monotonicity and convexity
• The Cauchy problem for discrete time fractional evolution equations
• Almost automorphic mild solutions to fractional partial difference-differential equations
• Discrete Fractional Calculus
• Existence and uniqueness of solutions of sequential nonlinear fractional difference equations with three‐point fractional sum boundary conditions
• lp-maximal regularity for fractional difference equations on UMD spaces
• On a New Definition of the Fractional Difference
• Evolutionary Integral Equations and Applications
• Fractional Differential Equations
• Convexity for nabla and delta fractional differences
• Systems of discrete fractional boundary value problems with nonlinearities satisfying no growth conditions
• The Poisson distribution, abstract fractional difference equations, and stability
• A discrete fractional Gronwall inequality

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