In recent. years, many authors demonstrated the usefulness of fractional calculus operators in the derivation of (explicit) particular solutions of a number of linear ordinary and partial differential equations of the second and higher orders. The main object of the present paper is to
Some relationships between certain families of ordinary and fractional differential equations
β Scribed by Tsai-Ming Hsieh; Shy-der Lin; H.M. Srivastava
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 607 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0898-1221
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## Abstract After the initial seminal works of Sophus Lie on ordinary differential equations, several important results on point symmetry group analysis of ordinary differential equations have been obtained. In this review, we present the salient features of point symmetry group classification of s
The concept of the complete symmetry group of a differential equation introduced by J. Krause (1994, J. Math. Phys. 35, 5734-5748) is extended to integrals of such equations. This paper is devoted to some aspects characterising complete symmetry groups. The algebras of the symmetries of both differe