Initial value problems in discrete fractional calculus

DOI10.1090/S0002-9939-08-09626-3zbMath1166.39005MaRDI QIDQ3617586

F. Merdivenci Atici, Paul W. Eloe

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

commutativitydiscrete fractional calculusfractional sumfractional difference equationsmethod of undetermined coefficients

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Multiplicative and other generalized difference equations (39A20)

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Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Laplace transform and \(Z\)-transform: Unification and extension
• The convolution on time scales
• Fractional q-Calculus on a time scale

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