scientific article

zbMath1389.34016MaRDI QIDQ2967927

Birol Ịbiş, Mustafa Bayram, A. Göksel Ağargün

Publication date: 9 March 2017

Full work available at URL: http://www.ejpam.com/index.php/ejpam/article/view/1172

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zbMATH Keywords

Caputohomotopy analysis method (HAM)fractional differential transform method (FDTM)fractional differential-algebraic equations (FDAEs)

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Theoretical approximation of solutions to ordinary differential equations (34A45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Application of He's variational iteration method for solution of differential-algebraic equations
• Solving system of DAEs by homotopy analysis method
• Homotopy analysis method for fractional IVPs
• Analysis of nonlinear fractional partial differential equations with the homotopy analysis method
• Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
• Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method
• Differential transform method applied to high index differential-algebraic equations
• The homotopy analysis method for handling systems of fractional differential equations
• Analytical approximate solutions of systems of fractional algebraic-differential equations by homotopy analysis method
• An approximation solution of a nonlinear equation with Riemann-Liouville's fractional derivatives by He's variational iteration method
• A review of the decomposition method in applied mathematics
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Application of variational iteration method to nonlinear differential equations of fractional order
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Analytical approximate solutions for nonlinear fractional differential equations
• Numerical comparison of methods for solving linear differential equations of fractional order
• Adomian decomposition method for solution of differential-algebraic equations
• Numerical solution of differential-algebraic equations with index-2
• On the numerical solution of differential-algebraic equations with index-3
• Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
• Solution of fractional differential equations by using differential transform method
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
• Applications of differential transform methods to differential-algebraic equations
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations

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