A Numerical Scheme for Solving Nonlinear Fractional Volterra Integro-Differential Equations

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, a Bernoulli pseudo-spectral method for solving nonlinear fractional Volterra integro-differential equations is considered. First existence of a unique solution for the problem under study is proved. Then the Caputo fractional derivative and Riemman-Liouville fractional integral properties are employed to derive the new approximate formula for unknown function of the problem. The suggested technique transforms these types of equations to the solution of systems of algebraic equations. In the next step, the error analysis of the proposed method is investigated. Finally, the technique is applied to some problems to show its validity and applicability.
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:13 Issue: 2, Nov 2018
Pages:
111 to 132
https://www.magiran.com/p1897889  
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