Abel’s formula and Wronskian for conformable fractional differential equations. (English) Zbl 1321.34008

Abu Hammad, M.; Khalil, R.

Int. J. Differ. Equ. Appl. 13, No. 3, 177-183 (2014).

Summary: In this paper, we discuss and present the form of the Wronskian for conformable fractional linear differential equations with variable coefficients. Further, we prove that there is an Abel’s formula for fractional differential equations with variable coefficients.

MSC:

34A08	Fractional ordinary differential equations
34A30	Linear ordinary differential equations and systems
34A05	Explicit solutions, first integrals of ordinary differential equations

Keywords:

Wronskian; Abel formula; fractional derivative