NUMERICAL SOLUTION OF DISTRIBUTED ORDER INTEGRO-DIFFERENTIAL EQUATIONS

DOI10.1142/S0218348X22401235zbMath1505.65324OpenAlexW4200215369WikidataQ115245805 ScholiaQ115245805MaRDI QIDQ5101508

Hossein Jafari, M. N. Ncube, R. M. Ganji, Latifa F. Agamalieva, Anqi Zhang

Publication date: 30 August 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x22401235

zbMATH Keywords

operational matrixVolterra-Fredholm integro-differential equationsLegendre-Gauss quadraturedistributed order integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

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Cites Work

• Unnamed Item
• Unnamed Item
• Numerical solution of distributed order fractional differential equations
• Numerical analysis for distributed-order differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the formulation and numerical simulation of distributed-order fractional optimal control problems
• Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs
• A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel
• A new application of fractional Atangana-Baleanu derivatives: designing ABC-fractional masks in image processing
• Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method
• A new approach for solving integro-differential equations of variable order
• A novel finite element method for the distributed-order time fractional Cable equation in two dimensions
• A semi-discrete numerical method for convolution-type unidirectional wave equations
• Numerical solution of the neural field equation in the presence of random disturbance
• Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems
• Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations
• Compact difference scheme for distributed-order time-fractional diffusion-wave equation on bounded domains
• Numerical solution of distributed order fractional differential equations by hybrid functions
• COMPLEX FRACTIONAL-ORDER HIV DIFFUSION MODEL BASED ON AMPLITUDE EQUATIONS WITH TURING PATTERNS AND TURING INSTABILITY
• Spectral Methods

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