caa a22 4500 60547057X CHVBK 20210128100328.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s00500-014-1261-5 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1261-5 Behzadi Sh Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran aut A new study on first-order fuzzy Fredholm-Volterra integro-differential equations by Jacobi polynomials and collocation methods [Elektronische Daten] [Sh. Behzadi] In this paper, the Jacobi polynomials and the collocation methods for solving first-order fuzzy linear Fredholm-Volterra integro-differential equation of the second kind under the generalized $$H$$ H -differentiability are introduced. The existence and uniqueness of the solution and convergence of the proposed methods are proved in details. Finally an example shows the accuracy of these methods. Springer-Verlag Berlin Heidelberg, 2014 Jacobi polynomials nationallicence Collocation method nationallicence Fuzzy integro-differential equations nationallicence Volterra and Fredholm integral equations nationallicence Generalized differentiability nationallicence Soft Computing Springer Berlin Heidelberg 19/2(2015-02-01), 421-429 1432-7643 19:2<421 2015 19 500 https://doi.org/10.1007/s00500-014-1261-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1261-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Behzadi Sh Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/2(2015-02-01), 421-429 1432-7643 19:2<421 2015 19 500