On efficient method for system of fractional differential equations

DOI10.1155/2011/303472zbMath1217.65134OpenAlexW2038689508WikidataQ59266933 ScholiaQ59266933MaRDI QIDQ537173

Najeeb Alam Khan, Asmat Ara, Nasir-Uddin Khan, Muhammad Kamran Jamil

Publication date: 19 May 2011

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223896

zbMATH Keywords

series expansionstiff systemhomotopy perturbation methodfractional-order Genesio systemmatrix Riccati-type differential equationsystem of fractional-order differential equations

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08) Numerical methods for stiff equations (65L04)

Related Items (15)

Discretization of conformable fractional differential equations by a piecewise constant approximation ⋮ An efficient scheme for solving a system of fractional differential equations with boundary conditions ⋮ Approximations of the nonlinear Volterra's population model by an efficient numerical method ⋮ Analytical and numerical results of fractional differential-difference equations ⋮ Fractional-order Riccati differential equation: analytical approximation and numerical results ⋮ Numerical solutions of Duffing van der Pol equations on the basis of hybrid functions ⋮ Efficient solutions of systems of fractional PDEs by the differential transform method ⋮ Approximate solution for the electrohydrodynamic flow in a circular cylindrical conduit ⋮ Analytical study of nonlinear fractional-order integrodifferential equation: revisit Volterra's population model ⋮ Two computational approaches for solving a fractional obstacle system in Hilbert space ⋮ Construction of fractional power series solutions to fractional stiff system using residual functions algorithm ⋮ Positive solutions for a system of fractional integral boundary value problem ⋮ Unnamed Item ⋮ Solutions of the force-free Duffing-van der Pol oscillator equation ⋮ Legendre wavelet operational matrix of fractional derivative through wavelet-polynomial transformation and its applications on non-linear system of fractional order differential equations

Cites Work

• Unnamed Item
• Analytical methods for solving the time-fractional Swift-Hohenberg (S-H) equation
• Exact analytic solutions for the unsteady flow of a non-Newtonian fluid between two cylinders with fractional derivative model
• An efficient method for quadratic Riccati differential equation
• Solving systems of ODEs by homotopy analysis method
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation technique
• Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
• Some exact solutions of the oscillatory motion of a generalized second-grade fluid in an annular region of two cylinders
• Bio‐thermal convection caused by combined effects of swimming of oxytactic bacteria and inclined temperature gradient in a shallow fluid layer
• A new HPM for ordinary differential equations

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