New and Extended Applications of the Natural and Sumudu Transforms: Fractional Diffusion and Stokes Fluid Flow Realms

DOI10.1007/978-981-10-4337-6_6zbMath1386.44003OpenAlexW2755340093MaRDI QIDQ4609696

Hammouch Zakia, Rathinavel Silambarasan, Fethi Bin Muhammad Belgacem, Toufik Mekkaoui

Publication date: 26 March 2018

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

Full work available at URL: https://doi.org/10.1007/978-981-10-4337-6_6

zbMATH Keywords

fluid dynamicsfractional diffusionSumudu transformnatural transform

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Stokes and related (Oseen, etc.) flows (76D07) Fractional partial differential equations (35R11)

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Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems ⋮ A Green's function iterative approach for the solution of a class of fractional BVPs arising in physical models ⋮ Breather, multi-shock waves and localized excitation structure solutions to the extended BKP-Boussinesq equation ⋮ System response of an alcoholism model under the effect of immigration via non-singular kernel derivative

Uses Software

• Maple

Cites Work

• New effective MILP models for PFSPs arising from real applications
• A distinctive Sumudu treatment of trigonometric functions
• A hybrid natural transform homotopy perturbation method for solving fractional partial differential equations
• Sumudu transform fundamental properties investigations and applications
• Sumudu transform method for analytical solutions of fractional type ordinary differential equations
• Analytical investigations of the Sudumu transform and applications to integral production equations
• The analytical solution of some fractional ordinary differential equations by the Sumudu transform method
• Natural transform of fractional order and some properties
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