A hybrid analytical algorithm for nonlinear fractional wave-like equations
From MaRDI portal
Publication:5229644
DOI10.1051/mmnp/2018063zbMath1423.65001OpenAlexW2914030858WikidataQ128380326 ScholiaQ128380326MaRDI QIDQ5229644
Sunil Dutt Purohit, Devendra Kumar, Jagdev Singh, Ram Swroop
Publication date: 16 August 2019
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2018063
Wave equation (35L05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)
Related Items (32)
Chaotic behaviour of fractional predator-prey dynamical system ⋮ Optical solitons of fractional complex Ginzburg-Landau equation with conformable, beta, and M-truncated derivatives: a comparative study ⋮ Numerical solution of the linear time fractional Klein-Gordon equation using transform based localized RBF method and quadrature ⋮ Fractional calculus of generalized Lommel-Wright function and its extended beta transform ⋮ Unified integral inequalities comprising pathway operators ⋮ Solvability for boundary value problems of nonlinear fractional differential equations with mixed perturbations of the second type ⋮ Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus ⋮ Certain \(k\)-fractional calculus operators and image formulas of \(k\)-Struve function ⋮ Extractions of some new travelling wave solutions to the conformable Date-Jimbo-Kashiwara-Miwa equation ⋮ A new fractional HRSV model and its optimal control: a non-singular operator approach ⋮ Fourth-order finite difference scheme and efficient algorithm for nonlinear fractional Schrödinger equations ⋮ Analytical, semi-analytical, and numerical solutions for the Cahn-Allen equation ⋮ Solution of fractional kinetic equations involving class of functions and Sumudu transform ⋮ A reliable treatment of residual power series method for time-fractional Black-Scholes European option pricing equations ⋮ Chaos and multiple attractors in a fractal-fractional Shinriki's oscillator model ⋮ Application of fractional operators in modelling for charge carrier transport in amorphous semiconductor with multiple trapping ⋮ Fractional order models for viscoelasticity in lung tissues with power, exponential and Mittag-Leffler memories ⋮ Existence and uniqueness results of Volterra-Fredholm integro-differential equations via Caputo fractional derivative ⋮ Analysis and numerical simulation of cross reaction–diffusion systems with the Caputo–Fabrizio and Riesz operators ⋮ Implicit methods for numerical solution of singular initial value problems ⋮ Local fractional homotopy analysis method for solving non-differentiable problems on Cantor sets ⋮ Solution of multi-dimensional Fredholm equations using Legendre scaling functions ⋮ Numerical solution of time-fractional three-species food chain model arising in the realm of mathematical ecology ⋮ Approximate analytical solution of fractional order biochemical reaction model and its stability analysis ⋮ Sign-changing solutions for Schrödinger-Kirchhoff-type fourth-order equation with potential vanishing at infinity ⋮ New Aspects of Fractional Epidemiological Model for Computer Viruses with Mittag–Leffler Law ⋮ A note on pathway fractional integral formulas associated with the incomplete \(H\)-functions ⋮ NEW ITERATIVE TRANSFORM METHOD FOR TIME AND SPACE FRACTIONAL (n + 1)-DIMENSIONAL HEAT AND WAVE TYPE EQUATIONS ⋮ A fast numerical method for fractional partial differential equations ⋮ Oscillation criteria of certain fractional partial differential equations ⋮ New extension of fractional-calculus results associated with product of certain special functions ⋮ Abundant solitary wave solutions to an extended nonlinear Schrödinger's equation with conformable derivative using an efficient integration method
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new approach for solving a system of fractional partial differential equations
- Homotopy perturbation method for solving wave-like nonlinear equations with initial-boundary conditions
- Decomposition method for solving fractional Riccati differential equations
- Variational iteration method for fractional heat- and wave-like equations
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractals and fractional calculus in continuum mechanics
- Homotopy analysis method: A new analytical technique for nonlinear problems
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the homotopy analysis method for nonlinear problems.
- Analysis of an El Nino-Southern Oscillation model with a new fractional derivative
- A modified numerical scheme and convergence analysis for fractional model of Lienard's equation
- Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
- A new comparative study between homotopy analysis transform method and homotopy perturbation transform method on a semi infinite domain
- An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation
- On convergence of homotopy analysis method and its application to fractional integro-differential equations
- Exact solutions of fractional heat-like and wave-like equations with variable coefficients
- Fractional diffusion and wave equations
- Beyond Perturbation
- On the analysis of chemical kinetics system pertaining to a fractional derivative with Mittag-Leffler type kernel
- A new analysis for fractional model of regularized long‐wave equation arising in ion acoustic plasma waves
This page was built for publication: A hybrid analytical algorithm for nonlinear fractional wave-like equations
