An algorithm for solving the fractional vibration equation
type: Item
instance of: scholarly article
title: An algorithm for solving the fractional vibration equation
zbMATH Open document ID: 1283.74020
author: Ahmet Yıldırım
author: Syed Tauseef Mohyud-Din
published in: Computational Mathematics and Modeling
publication date: 2013-01-07T00:00:00Z
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6122623
zbMATH Keywords: homotopy perturbation method
zbMATH Keywords: Caputo derivative
zbMATH Keywords: Mittag-Leffler function
MaRDI profile type: Publication
full work available at URL: s10598-012-9133-2
OpenAlex ID: W2023315189
cites work: An explicit and numerical solutions of the fractional KdV equation
cites work: Q5423096
cites work: Analytic and approximate solutions of the space- and time-fractional telegraph equations
cites work: Variational iteration method for solving the space‐ and time‐fractional KdV equation
cites work: Homotopy perturbation method for fractional KdV equation
cites work: Homotopy perturbation method for bifurcation of nonlinear problems
cites work: Homotopy perturbation method for solving boundary value problems
cites work: Homotopy perturbation technique
cites work: A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
cites work: Homotopy perturbation method: a new nonlinear analytical technique
cites work: Determination of periodic solution for a \(u^{1/3}\) force by He's modified Lindstedt-Poincaré method
cites work: Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
cites work: Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
cites work: He's homotopy perturbation method for nonlinear differential-difference equations
cites work: Application of the homotopy perturbation method for the Fokker-Planck equation
cites work: Solution of delay differential equations via a homotopy perturbation method
cites work: Inverse problem of diffusion equation by He's homotopy perturbation method
cites work: Variational iteration method for fifth-order boundary value problems using He's polynomials
cites work: Homotopy perturbation method for solving sixth-order boundary value problems
cites work: TRAVELING WAVE SOLUTIONS OF SEVENTH-ORDER GENERALIZED KdV EQUATIONS BY VARIATIONAL ITERATION METHOD USING ADOMIAN'S POLYNOMIALS
cites work: Modified variational iteration method for solving Helmholtz equations
cites work: Some relatively new techniques for nonlinear problems
cites work: Recent development of the homotopy perturbation method
cites work: SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
cites work: Q4981318
cites work: Q3141902
cites work: Q3141895
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
DOI: 10.1007/S10598-012-9133-2
description: scientific article; zbMATH DE number 6122623