Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order
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Publication:980242
DOI10.1016/j.camwa.2009.06.020zbMath1189.65250OpenAlexW1999302051MaRDI QIDQ980242
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2009.06.020
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Series solutions of non-linear Riccati differential equations with fractional order
- Numerical studies for a multi-order fractional differential equation
- Homotopy analysis method for fractional IVPs
- Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
- Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
- Application of generalized differential transform method to multi-order fractional differential equations
- An explicit, totally analytic approximate solution for Blasius' viscous flow problems
- A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
- Solving multi-term linear and non-linear diffusion-wave equations of fractional order by Adomian decomposition method
- Numerical approach to differential equations of fractional order
- An operational method for solving fractional differential equations with the Caputo derivatives
- A kind of approximation solution technique which does not depend upon small parameters. II: An application in fluid mechanics
- On the Cauchy problem for some fractional order partial differential equations
- An approximate solution technique not depending on small parameters: A special example
- Solving a multi-order fractional differential equation using Adomian decomposition
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