A semigroup-like property for discrete Mittag-Leffler functions

DOI10.1186/1687-1847-2012-72zbMath1292.39001OpenAlexW2143991194WikidataQ59289493 ScholiaQ59289493MaRDI QIDQ2448020

Thabet Abdeljawad, Fahd Jarad, Dumitru Baleanu

Publication date: 29 April 2014

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-72

zbMATH Keywords

convolutiondiscrete Mittag-Leffler functionsemigroup identitydiscrete nabla Laplace transformdiscrete fractional Cauchy problemnabla Caputo fractional linear difference equation

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Discrete version of topics in analysis (39A12) Fractional ordinary differential equations (34A08) Linear difference equations (39A06)

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Cites Work

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• Foundations of nabla fractional calculus on time scales and inequalities
• Principles of delta fractional calculus on time scales and inequalities
• Discrete-time fractional variational problems
• On Riemann and Caputo fractional differences
• Modeling with fractional difference equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• On a New Definition of the Fractional Difference

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