Homotopy series solutions to time-space fractional coupled systems

DOI10.1155/2017/3540364zbMath1453.65381OpenAlexW2778829226MaRDI QIDQ1727395

Ming Cai, Jin Zhang, Bochao Chen, Hui Wei

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3540364

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Cites Work

• Construction of analytic solution for time-fractional Boussinesq equation using iterative method
• Asymptotic expansion of the solutions to time-space fractional Kuramoto-Sivashinsky equations
• The modified simple equation method and the multiple exp-function method for solving nonlinear fractional Sharma-Tasso-Olver equation
• A transformed rational function method and exact solutions to the \(3+1\) dimensional Jimbo-Miwa equation
• Application of fractional calculus to ultrasonic wave propagation in human cancellous bone
• The development of fractional calculus 1695-1900
• Extended transformed rational function method and applications to complexiton solutions
• Sumudu transform method for analytical solutions of fractional type ordinary differential equations
• Saigo space-time fractional Poisson process via Adomian decomposition method
• Application of variational iteration method to nonlinear differential equations of fractional order
• The use of variational iteration method, differential transform method and Adomian decomposition method for solving different types of nonlinear partial differential equations
• Construction of fractional power series solutions to fractional Boussinesq equations using residual power series method
• A refined invariant subspace method and applications to evolution equations
• New exact solutions to a solutions to a system of coupled KdV equations
• A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
• Homotopy perturbation technique
• Invariant subspace method: a tool for solving fractional partial differential equations
• A generalized differential transform method for linear partial differential equations of fractional order
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• A Higher-Order Water-Wave Equation and the Method for Solving It
• Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus
• Further properties of the Sumudu transform and its applications
• Approximate equations for long water waves
• Solving nonlinear fractional partial differential equations using the homotopy analysis method
• Variational Methods and Applications to Water Waves
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item