[PDF] Top 20 Numerical Solution for Solving a System of Fractional Integro-differential Equations

... and fractional calculus is ...for fractional integration are ...of system of fractional integro-differential equa- ...some numerical examples are ... See full document

... of integro-differential equations have a major role in the fields of science, physical phenomena, and engineering, such as nano-hydrodynamics, glass-forming process, dropwise condensation, wind ... See full document

... some fractional-order functions (polynomial or wavelet) have been proposed to solve fractional differential ...the fractional-order generalized Laguerre functions to find numerical ... See full document

... the numerical solution of nonlinear fractional integro-differential equations ...for solving many NFIDEs with the help of Newton’s iteration ... See full document

... nonlinear fractional differential equations do not have analytic solutions, so approximations and numerical techniques must be used [9-12 ...approximation solution to linear and non ... See full document

... for solving Fractional integro-differential equations is ...The fractional derivative is considered in the Caputo sense ...standard integro integral equation of the second ... See full document

... the numerical solution of fractional integrodifferential equation of the type in (1) and ...approximation solution of the form defined by (Rawashdeh, ... See full document

... the numerical solution of fractional-order differential ...of fractional derivative and integration for such functions to construct a new Tau technique for solving ... See full document

... with fractional systems ,so the propose technique provide a good results for linear system of fractional integro- differential ...solve fractional linear ... See full document

... Saeid Moloudzadeh was born in the Naghadeh-Iran in 1976. He re- ceived B.Sc degree in mathematics and M.Sc degree in applied mathe- matics from Payam-e-Noor Univer- sity of Naghadeh, Science and Re- search Branch, IAU to ... See full document

... of solving such nonlinear problems is to linearize the problem, where we replace the actual nonlinear system with a so called equivalent linear system and employ averaging which is in general not a ... See full document

... in solving dynamic ...the solution of a class of nonlinear fractional mixed Fredholm-Volterra integro-differential equations of the ... See full document

... is solving nonlinear Volterra-Fredholm fractional integro-differential equations with mixed boundary ...convert fractional integro-differential equation to a type ... See full document

... involves solving a linear system that is extremely ill-conditioned when the parameters of the method are such that the best accuracy is theoretically ...exact solution of fractional ... See full document

... for solving a system of linear fractional Integro-differential equations of Volterra (LFIDEV) numerically presented based on B-spline ...investigated. Numerical examples ... See full document

... a numerical method for solving fuzzy differential equation of fractional order under gH-fractional Caputo ...the solution of fuzzy fractional differential equation ... See full document

... We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and ... See full document

... of solution for integro-differential system and also we used Alpert multi-wavelet bases to solve system of integro-differential ... See full document

... A numerical scheme for solving two-dimensional fractional optimal control problems by the Ritz method combined with fractional operational matrix, IMA Journal of Mathematical Control and ... See full document

... explicit numerical methods (Yuste & Acedo 2005, Shen & Liu 2005, Liu, Zhuang, Anh, Turner & Burrage 2007, Chen, Liu, Anh & Turner 2012, Liu, Dong, Lewis & He 2015) and implicit numerical ... See full document