Power functions and essentials of fractional calculus on isolated time scales
type: Item
instance of: scholarly article
title: Power functions and essentials of fractional calculus on isolated time scales
zbMATH Open document ID: 1375.26046
DOI: 10.1186/1687-1847-2013-259
author: Tomáš Kisela
published in: Advances in Difference Equations
publication date: 2017-11-28T00:00:00Z
Mathematics Subject Classification ID: 26E70
Mathematics Subject Classification ID: 39A12
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 44A10
zbMATH DE Number: 6813478
zbMATH Keywords: fractional calculus
zbMATH Keywords: power functions
zbMATH Keywords: time scales
zbMATH Keywords: convolution
zbMATH Keywords: Laplace transform
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2013-259
OpenAlex ID: W2039456974
Wikidata QID: Q59299295
cites work: Q5699297
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q5569791
cites work: Differences of Fractional Order
cites work: On (q, h)-Analogue of Fractional Calculus
cites work: Fractional calculus on time scales with Taylor's theorem
cites work: Discrete fractional calculus with the nabla operator
cites work: Q3629842
cites work: Polynomial Growth for Birational Mappings from Four-State Spin Edge Models
cites work: On some \((q,h)\)-analogues of integral inequalities on discrete time scales
cites work: Discrete Mittag-Leffler functions in linear fractional difference equations
cites work: Stability and asymptotic properties of a linear fractional difference equation
cites work: Stability regions for linear fractional differential systems and their discretizations
cites work: Foundations of nabla fractional calculus on time scales and inequalities
cites work: Q4664428
cites work: Q2723195
cites work: Q4797834
cites work: Laplace transform and \(Z\)-transform: Unification and extension
cites work: The convolution on time scales
cites work: Q3507973
description: scientific article; zbMATH DE number 6813478