On Sumudu transform method in discrete fractional calculus

DOI10.1155/2012/270106zbMath1253.34014OpenAlexW1994449495WikidataQ58696202 ScholiaQ58696202MaRDI QIDQ696029

Fahd Jarad, Kenan Tas

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/270106

zbMATH Keywords

Sumudu transformfractional difference initial value problemsgeneralized discrete Sumudu transform

Mathematics Subject Classification ID

Fractional ordinary differential equations (34A08) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

A new transform method in nabla discrete fractional calculus ⋮ Integral transform methods for solving fractional dynamic equations on time scales ⋮ The analytical solution of some fractional ordinary differential equations by the Sumudu transform method ⋮ 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 ⋮ A transformation method for delta partial difference equations on discrete time scale

Cites Work

• On Riemann and Caputo fractional differences
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• The \(h\)-Laplace and \(q\)-Laplace transforms
• Sumudu transform fundamental properties investigations and applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical investigations of the Sudumu transform and applications to integral production equations
• On the applications of Laplace and Sumudu transforms
• First and second order linear dynamic equations on time scales
• Sum and Difference Compositions in Discrete Fractional Calculus
• Sumudu transform and the solution of integral equations of convolution type
• Further properties of the Sumudu transform and its applications
• Discrete fractional calculus with the nabla operator
• Initial value problems in discrete fractional calculus
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
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