Local fractional Laplace homotopy analysis method for solving non-differentiable wave equations on Cantor sets
From MaRDI portal
Publication:2322454
DOI10.1007/s40314-019-0825-5zbMath1463.65339OpenAlexW2925166304WikidataQ128198774 ScholiaQ128198774MaRDI QIDQ2322454
Publication date: 4 September 2019
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0825-5
homotopy analysis methodnumeric and symbolic computationslocal fractional Laplace transformlocal fractional Laplace homotopy analysis methodlocal fractional wave equations
Symbolic computation and algebraic computation (68W30) 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)
Related Items
A note on singular two-dimensional fractional coupled Burgers' equation and triple Laplace Adomian decomposition method, Homotopy analysis Shehu transform method for solving fuzzy differential equations of fractional and integer order derivatives
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow
- A local fractional variational iteration method for Laplace equation within local fractional operators
- Local fractional Adomian decomposition and function decomposition methods for Laplace equation within local fractional operators
- Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
- On the local fractional derivative
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional master equation: Non-standard analysis and Liouville-Riemann derivative
- Local fractional Laplace variational iteration method for solving diffusion and wave equations on Cantor sets within local fractional operators
- Local fractional function decomposition method for solving inhomogeneous wave equations with local fractional derivative
- Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
- Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets
- Local fractional Sumudu transform with application to IVPs on Cantor sets
- Local fractional \(Z\)-transforms with applications to signals on Cantor sets
- A new computational approach for solving nonlinear local fractional PDEs
- An approximate solution technique not depending on small parameters: A special example
- Local fractional Fourier series with application to wave equation in fractal vibrating string
- An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- Design of unsupervised fractional neural network model optimized with interior point algorithm for solving Bagley-Torvik equation
- Local fractional Laplace variational iteration method for solving linear partial differential equations with local fractional derivative
- A hybrid computational approach for Klein-Gordon equations on Cantor sets
- On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
- On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
- Comparison between the homotopy analysis method and homotopy perturbation method
- New Trends in Nanotechnology and Fractional Calculus Applications
- Beyond Perturbation
- Local Fractional Fokker-Planck Equation
- Fractional differentiability of nowhere differentiable functions and dimensions
- A New Family of the Local Fractional PDEs
- A new numerical technique for local fractional diffusion equation in fractal heat transfer
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- An efficient computational technique for local fractional heat conduction equations in fractal media
- Local fractional analytical methods for solving wave equations with local fractional derivative
- Fractional Brownian Motions, Fractional Noises and Applications
