Reduced differential transform method for solving time and space local fractional partial differential equations
From MaRDI portal
Publication:5743191
DOI10.22436/jnsa.010.10.09zbMath1412.35360OpenAlexW2766310904MaRDI QIDQ5743191
Maysaa' Mohamed Al Qurashi, Omer Acan, Dumitru Baleanu
Publication date: 9 May 2019
Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22436/jnsa.010.10.09
approximate solutionpartial differential equationslocal fractional derivativereduced differential transform method
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Numerical methods for integral transforms (65R10) Fractional partial differential equations (35R11)
Related Items
A new numerical technique for solving Caputo time-fractional biological population equation ⋮ Homotopy analysis method and its applications in the valuation of European call options with time-fractional Black-Scholes equation ⋮ A new computational for approximate analytical solutions of nonlinear time-fractional wave-like equations with variable coefficients ⋮ The analysis of the fractional-order Navier-Stokes equations by a novel approach ⋮ Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays ⋮ Unnamed Item ⋮ Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries ⋮ On effects of a new method for fractional initial value problems ⋮ Study of convergence of reduced differential transform method for different classes of differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- A numerical computation of a system of linear and nonlinear time dependent partial differential equations using reduced differential transform method
- A comparison between the reduced differential transform method and the Adomian decomposition method for the Newell-Whitehead-Segel equation
- Approximate analytical solutions of fractional perturbed diffusion equation by reduced differential transform method and the homotopy perturbation method
- A tutorial review on fractal spacetime and fractional calculus
- Local fractional similarity solution for the diffusion equation defined on Cantor sets
- Approximate analytical solutions of fractional benney-lin equation by reduced differential transform method and the homotopy perturbation method
- A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Reduced differential transform method for generalized KdV equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On fractional order hybrid differential equations
- Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators
- Variational iteration transform method for fractional differential equations with local fractional derivative
- Fractional order models of industrial pneumatic controllers
- Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
- An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics
- Generalized Ostrowski type inequalities for local fractional integrals
- Fractional diffusion and wave equations
- Solution of high-order linear Fredholm integro-differential equations with piecewise intervals
- A New Family of the Local Fractional PDEs
- On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
- Definition of Physically Consistent Damping Laws with Fractional Derivatives
