Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1033.45006
Lee, Chung-Yi; Srivastava, H. M.; Yueh, Wen-Chyuan
Explicit solutions of some linear ordinary and partial fractional differintegral equations.
(English)
[J] Appl. Math. Comput. 144, No. 1, 11-25 (2003). ISSN 0096-3003

The authors employ some general theorems and lemmas, related to fractional differintegrals (fractional differential and integral operators), to obtain (in a unified manner) particular solutions of second and third order homogeneous and non-homogeneous linear ordinary fractional differintegral equations and some partial fractional differintegral equations. They predict some interesting consequences and applications of their results.\par In addition to the references cited by them, following reference (from the point of view of applications of fractional differintegrals) may be of interest: {\it P. K. Banerji} and {\it A. M. H. Alhashemi} [Proc. Natl. Acad. Sci. India, Sect. A 69, 191--197 (1999; Zbl 0965.34073); J. Indian Acad. Math. 21, 155--167 (1999; Zbl 0994.34002)]; {\it Y. Deora} and {\it P. K. Banerji} [Fractional Calc. 5, 91--94 (1994; Zbl 0814.35089)].
[P. K. Banerji (Jodhpur)]
MSC 2000:
*45J05 Integro-ordinary differential equations
45K05 Integro-partial differential equations
26A33 Fractional derivatives and integrals (real functions)

Keywords: fractional calculus; differintegral equations; (ordinary and partial) linear differential equations; analytic (regular) functions; index law; generalized Leibniz rule

Citations: Zbl 0965.34073; Zbl 0994.34002; Zbl 0814.35089

Highlights
Master Server