The use of Sumudu transform for solving certain nonlinear fractional heat-like equations

DOI10.1155/2013/737481zbMath1275.65067OpenAlexW1977979761WikidataQ58916817 ScholiaQ58916817MaRDI QIDQ370165

Abdon Atangana, Adem Kilicman

Publication date: 19 September 2013

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

Full work available at URL: https://doi.org/10.1155/2013/737481

zbMATH Keywords

Laplace transformhomotopy perturbation methodSumudu transformheat-like equationnonlinear fractional partial differential equationstransform method

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items (11)

Certain fundamental properties of generalized natural transform in generalized spaces ⋮ Sumudu transform method for analytical solutions of fractional type ordinary differential equations ⋮ Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method ⋮ Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow ⋮ Novel approach for dealing with partial differential equations with mixed derivatives ⋮ New iteration methods for time-fractional modified nonlinear Kawahara equation ⋮ Two hybrid methods for solving two-dimensional linear time-fractional partial differential equations ⋮ Analytic and approximate solutions of the space-time fractional Schrödinger equations by homotopy perturbation Sumudu transform method ⋮ Abundant novel solutions of the conformable Lakshmanan-Porsezian-Daniel model ⋮ The discrete homotopy perturbation sumudu transform method for solving partial difference equations ⋮ An efficient perturbation Sumudu transform technique for the time-fractional vibration equation with a memory dependent fractional derivative in Liouville-Caputo sense

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The time-fractional coupled-Korteweg-de-Vries equations
• Adomian decomposition method for non-smooth initial value problems
• A mathematical modelling of inner-resonance of tangent nonlinear cushioning packaging system with critical components
• Inner resonance of a coupled hyperbolic tangent nonlinear oscillator arising in a packaging system
• Adomian decomposition: a tool for solving a system of fractional differential equations
• 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
• Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
• Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
• Solving a system of fractional partial differential equations arising in the model of HIV infection of \(\mathrm{CD4}^{+}\) cells and attractor one-dimensional Keller-Segel equations
• Analytical investigations of the Sudumu transform and applications to integral production equations
• Asymptotic methods for solitary solutions and compactons
• Homotopy perturbation method for fractional gas dynamics equation using Sumudu transform
• Homotopy perturbation technique
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• Variational iteration method for fractional calculus -- a universal approach by Laplace transform
• Further properties of the Sumudu transform and its applications
• Explicit analytical solutions of the generalized Burger and Burger-Fisher equations by homotopy perturbation method
• Application of Sumudu transform to partial differential equations
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems

This page was built for publication: The use of Sumudu transform for solving certain nonlinear fractional heat-like equations