A note on fractional Sumudu transform

DOI10.1155/2010/154189zbMath1202.26014OpenAlexW2150619732WikidataQ58652397 ScholiaQ58652397MaRDI QIDQ1959402

Bhavna Shrama, V. G. Gupta, Adem Kilicman

Publication date: 7 October 2010

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/154189

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33)

Related Items (7)

Application of Sumudu transform in generalized fractional reaction-diffusion equation ⋮ An approach to differential geometry of fractional order via modified Riemann-Liouville derivative ⋮ Note on transport equation and fractional Sumudu transform ⋮ The analytical solution of some fractional ordinary differential equations by the Sumudu transform method ⋮ Adomian decomposition Sumudu transform method for convective fin with temperature-dependent internal heat generation and thermal conductivity of fractional order energy balance equation ⋮ Notes on fuzzy fractional Sumudu transform ⋮ Natural transform of fractional order and some properties

Cites Work

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• On Sumudu transform and system of differential equations
• 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
• Analytical investigations of the Sudumu transform and applications to integral production equations
• On the applications of Laplace and Sumudu transforms
• Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution
• Sumudu transform and the solution of integral equations of convolution type
• Further properties of the Sumudu transform and its applications
• A new integral transform and associated distributions
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
• A fractional calculus of variations for multiple integrals with application to vibrating string

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