Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

	Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets
Computational Methods for Differential Equations
مقاله 2، دوره 7، شماره 2، تیر 2019، صفحه 163-176 اصل مقاله (255.22 K)
نوع مقاله: Research Paper
نویسندگان
Elham Keshavarz¹؛ Yadollah Ordokhani^* ¹؛ Mohsen Razzaghi²
¹Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
²Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762
چکیده
In this paper, a numerical method for solving a class of nonlinear mixed Fredholm-Volterra integro-diﬀerential equations of fractional order is presented. The method is based upon Bernoulli wavelets approximations. The operational matrix of fractional order integration for Bernoulli wavelets is utilized to reduce the solution of the nonlinear fractional integro-diﬀerential equations to system of algebraic equations. Illustrative examples are included to demonstrate the eﬃciency and accuracy of the method.
کلیدواژه‌ها
Bernoulli wavelets؛ fractional calculus؛ Fredholm-Volterra integro-diﬀerential equations؛ Caputo derivative؛ Operational matrix

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