


Paper Title:
Numerical Solution of Certain Types of FredholmVolterra IntegroFractional Differential Equations via Bernstein Polynomials
Author(s):
Alias B. Khalaf^{1}, Azhaar H. Sallo^{2} and Shazad S. Ahmed^{3}
^{1}Department
of Mathematics, College of Science,
University of Duhok,
Kurdistan Region,
Iraq.
Email: aliasbkhalaf@uod.ac
^{2}Department
of Mathematics, College of Science,
University of Duhok,
Kurdistan Region,
Iraq.
Email: azhaarsallo@uod.ac
^{3}Department
of Mathematics, College of Science,
University of Sulaimani,
Kurdistan Region,
Iraq.
Email: shazad.ahmed@univsul.edu
Abstract:
In this article we obtain a numerical solution for a certain fractional order integrodifferential equations of FredholmVolterra type, where the fractional derivative is defined in Caputo sense. The properties of Bernstein polynomials are applied in order to convert the fractional order integrodifferential equations to the solution of algebraic equations. Some numerical examples are investigated to illustrate the method. Moreover, the results obtained by this method are compared with the exact solution and with the results of some existing methods as well.
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