SOLUTION OF ABEL INTEGRAL-EQUATIONS OF TH E 2ND KIND AND DIFFERENTIAL-EQUATIONS OF FRACTIONAL ORDER

Authors
KILBAS AA SAIGO M
Citation
Aa. Kilbas et M. Saigo, SOLUTION OF ABEL INTEGRAL-EQUATIONS OF TH E 2ND KIND AND DIFFERENTIAL-EQUATIONS OF FRACTIONAL ORDER, Doklady Akademii nauk BSSR, 39(5), 1995, pp. 29-34
Citations number
5
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Doklady Akademii nauk BSSR → ACNP
ISSN journal
0002354X
Volume
39
Issue
5
Year of publication
1995
Pages
29 - 34
Database
ISI
SICI code
0002-354X(1995)39:5<29:SOAIOT>2.0.ZU;2-5
Abstract
Solutions of new classes of nonhomogeneous Abel integral equations of the second kind and nonhomogeneous differential equations of fractiona l order with quasipolynomial free terms are given. Full systems of lin ear independent solutions of corresponding homogeneous differential eq uations of fractional order and, in particular, of ordinary differenti al equations are constructed. Solutions obtained are expressed in term s of special functions which generalize classical Mittag-Leffler funct ions.