Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 4, Number 3 (2000), 417-426.
A CERTAIN FAMILY OF FRACTIONAL\\ DIFFERINTEGRAL EQUATIONS
In recent years, several workers demonstrated the usefulness of fractional calculus in the derivation of particular solutions of a number of familiar second-order differential equations associated (for example) with Gauss, Legendre, Jacobi, Chebyshev, Coulomb, Whittaker, Euler, Hermite, and Weber equations. The main object of this paper is to show how some of the most recent contributions on this subject, involving the Weber equations and their various generalized forms, can be obtained by suitably applying a general theorem on particular solutions of a certain family of fractional differintegral equations.
Taiwanese J. Math., Volume 4, Number 3 (2000), 417-426.
First available in Project Euclid: 18 July 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 26A33: Fractional derivatives and integrals 34A05: Explicit solutions and reductions
Secondary: 34A25: Analytical theory: series, transformations, transforms, operational calculus, etc. [See also 44-XX]
Tu, Shih-Tong; Huang, Yu-Tan; Chen, I-Chun; Srivastava, H. M. A CERTAIN FAMILY OF FRACTIONAL\\ DIFFERINTEGRAL EQUATIONS. Taiwanese J. Math. 4 (2000), no. 3, 417--426. doi:10.11650/twjm/1500407258. https://projecteuclid.org/euclid.twjm/1500407258