On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives
From MaRDI portal
Publication:1718006
DOI10.1155/2014/267843zbMath1407.35058OpenAlexW2007873258WikidataQ59065243 ScholiaQ59065243MaRDI QIDQ1718006
Abdon Atangana, Suares Clovis Oukouomi Noutchie
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/267843
Transform methods (e.g., integral transforms) applied to PDEs (35A22) Nonlinear higher-order PDEs (35G20) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)
Related Items
ANALYTICAL APPROXIMATION SOLUTION OF SYSTEM OF PSEUDO-PARABOLIC FRACTIONAL EQUATIONS USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD ⋮ Three-dimensional Laplace Adomian decomposition method and singular pseudoparabolic equations ⋮ Solving coupled pseudo-parabolic equation using a modified double Laplace decomposition method ⋮ ON SOLVABILITY OF AN EVOLUTION MIXED PROBLEM FOR A CERTAIN PARABOLIC FRACTIONAL EQUATION WITH WEIGHTED INTEGRAL BOUNDARY CONDITIONS IN SOBOLEV FUNCTION SPACES ⋮ Applying ``Emad-Sara transform on partial differential equations ⋮ Unnamed Item ⋮ Exact solutions of fragmentation equations with general fragmentation rates and separable particles distribution kernels ⋮ Application of double Laplace decomposition method for solving singular one dimensional system of hyperbolic equations ⋮ Application of the double Laplace Adomian decomposition method for solving linear singular one dimensional thermo-elasticity coupled system ⋮ Solutions of two-dimensional nonlinear sine-Gordon equation via triple Laplace transform coupled with iterative method ⋮ A note on a singular coupled Burgers equation and double Laplace transform method ⋮ A note on double Laplace decomposition method for solving singular one dimensional pseudo thermo-elasticity coupled system ⋮ Nonlinear singular one dimensional thermo-elasticity coupled system and double Laplace decomposition methods
Cites Work
- Unnamed Item
- Unnamed Item
- A note on fractional order derivatives and table of fractional derivatives of some special functions
- The time-fractional coupled-Korteweg-de-Vries equations
- Modeling and sensitivity analysis of a pneumatic vibration isolation system with two air chambers
- Homotopy perturbation transform method for nonlinear equations using He's polynomials
- A Jacobi dual-Petrov Galerkin-Jacobi collocation method for solving Korteweg-de Vries equations
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
- Existence of fractional neutral functional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Analytical solutions of a space-time fractional derivative of groundwater flow equation
- A modified groundwater flow model using the space time Riemann-Liouville fractional derivatives approximation
- Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces
- Drawdown in prolate spheroidal-spherical coordinates obtained via Green's function and perturbation methods
- Some new existence results for fractional differential inclusions with boundary conditions