Fuzzy collocation methods for second- order fuzzy Abel-Volterra integro-differential equations

نویسندگان
Abbasbandy, S. ID 1
Behzadi, S. S. ID 2
Allahviranloo, T. ID 3

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.

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

3 Department of Mathematics, Science and Research Branch, Is- lamic Azad University, Tehran, Iran.

doi
10.22111/ijfs.2014.1503
چکیده

In this paper we intend to offer new numerical methods to solve the second-order fuzzy Abel-Volterraintegro-differential equations under the generalized $H$-differentiability. The existence and uniqueness of thesolution and convergence of the proposed methods are proved in details and the efficiency of the methods is illustrated through a numerical example.

کلیدواژه‌ها
acobi polynomials, Airfoil polynomials, Collocation method, Fuzzy integro-differential equations, Abel and Volterra integral equations, Generalized differentiability