A new transform method in nabla discrete fractional calculus

DOI10.1186/1687-1847-2012-190zbMath1377.44006OpenAlexW2107638244WikidataQ59272354 ScholiaQ59272354MaRDI QIDQ1690868

Kenan Tas, Fahd Jarad, Billur Kaymakçalan

Publication date: 12 January 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-190

zbMATH Keywords

convolutiontime scalefractional differencesdiscrete Sumudu transformfractional sums

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fractional derivatives and integrals (26A33) Discrete operational calculus (44A55)

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Caputo type fractional difference operator and its application on discrete time scales, Weighted bounded solutions for a class of nonlinear fractional equations, Unnamed Item, On a system of fractional finite difference inclusions, Kallman-Rota type inequality for discrete evolution families of bounded linear operators, A practical formula of solutions for a family of linear non-autonomous fractional nabla difference equations, On Hilfer fractional difference operator, A study of ∇-discrete fractional calculus operator on the radial Schrödinger equation for some physical potentials, The discrete homotopy perturbation sumudu transform method for solving partial difference equations, The Poisson distribution, abstract fractional difference equations, and stability

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