Natural transform of fractional order and some properties

DOI10.1080/23311835.2016.1251874zbMath1438.44002OpenAlexW2535703479MaRDI QIDQ4966838

Maryam Omran, Adem Kilicman

Publication date: 27 June 2019

Published in: Cogent Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/23311835.2016.1251874

zbMATH Keywords

Mittag-Leffler functionnatural transformLaplace and Sumudu transforms of order \(\alpha\)modified fractional Riemann-Liouville derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Laplace transform (44A10) Integral transforms of special functions (44A20)

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Solving the (1+n)-dimensional fractional Burgers equation by natural decomposition method ⋮ On fractional order Mellin transform and some of its properties ⋮ Natural transform decomposition method for the numerical treatment of the time fractional <scp>Burgers–Huxley</scp> equation ⋮ New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms ⋮ On double Natural transform and its applications

Cites Work

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• Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
• Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• A note on fractional Sumudu transform
• Fractional Green function for linear time-fractional inhomogeneous partial differential equations in fluid mechanics
• Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
• A fractional calculus of variations for multiple integrals with application to vibrating string
• Taylor’s Series Generalized for Fractional Derivatives and Applications