New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum \(q\)-homotopic analysis method

DOI10.1016/j.cam.2017.01.032zbMath1415.65280OpenAlexW2589118741MaRDI QIDQ2400324

Rahmat Darzi, Bahram Agheli, Dumitru Baleanu

Publication date: 28 August 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.01.032

zbMATH Keywords

Caputo derivativenonlinear fractional partial integro-differential equationoptimal \(q\)-homotopic analysis method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (9)

Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel ⋮ An efficient numerical approach for solving variable-order fractional partial integro-differential equations ⋮ An efficient parametric finite difference and orthogonal spline approximation for solving the weakly singular nonlinear time-fractional partial integro-differential equation ⋮ A reliable mixed method for singular integro-differential equations of non-integer order ⋮ Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains ⋮ Unnamed Item ⋮ To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations ⋮ Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain ⋮ NUMERICAL SOLUTION OF VARIABLE-ORDER TIME FRACTIONAL WEAKLY SINGULAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH ERROR ESTIMATION

Uses Software

• Mathematica

Cites Work

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• The numerical solution of the non-linear integro-differential equations based on the meshless method
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• Solutions of integral and integro-differential equation systems by using differential transform method
• Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
• An analytic solution of projectile motion with the quadratic resistance law using the homotopy analysis method
• Solving nonlinear fractional partial differential equations using the homotopy analysis method

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