TY - JOUR
ID - 868
TI - Numerical approach for solving a class of nonlinear fractional differential equation
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Irandoust-pakchin, S.
AU - Lakestani, M.
AU - Kheiri, H.
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran.
Y1 - 2016
PY - 2016
VL - 42
IS - 5
SP - 1107
EP - 1126
KW - Fractional-order differential equation
KW - operational matrix of fractional derivative
KW - Caputo derivative
KW - Chebyshev cardinal function
KW - collocation method
DO -
N2 - It is commonly accepted that fractional differential equations play an important role in the explanation of many physical phenomena. For this reason we need a reliable and efficient technique for the solution of fractional differential equations. This paper deals with the numerical solution of a class of fractional differential equation. The fractional derivatives are described based on the Caputo sense. Our main aim is to generalize the Chebyshev cardinal operational matrix to the fractional calculus. In this work, the Chebyshev cardinal functions together with the Chebyshev cardinal operational matrix of fractional derivatives are used for numerical solution of a class of fractional differential equations. The main advantage of this approach is that it reduces fractional problems to a system of algebraic equations. The method is applied to solve nonlinear fractional differential equations. Illustrative examples are included to demonstrate the validity and applicability of the presented technique.
UR - http://bims.iranjournals.ir/article_868.html
L1 - http://bims.iranjournals.ir/article_868_26827a7d21fe2b110ccd0dc9c647f92a.pdf
ER -