Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

نویسندگان
Agheli, Bahram ID 1
Adabitabar, Mohammad ID 2
Neamaty, Abdol Ali ID 3

1 Department of Mathematics, University of Mazandaran, Babolsar, Iran

2 Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

3 Department of Mathematics, University of Mazandaran, Babolsar, Iran

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چکیده

Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three numerical examples are presented to describe the fractional usefulness of the suggested method.

کلیدواژه‌ها
Boundary value problems of fractional order, Riemann-Liouville fractional derivative, Caputo fractional derivative, central difference