Back to Search
Start Over
On Complete Monotonicity of Solution to the Fractional Relaxation Equation with the nth Level Fractional Derivative.
- Source :
-
Mathematics (2227-7390) . Sep2020, Vol. 8 Issue 9, p1561. 1p. - Publication Year :
- 2020
-
Abstract
- In this paper, we first deduce the explicit formulas for the projector of the nth level fractional derivative and for its Laplace transform. Afterwards, the fractional relaxation equation with the nth level fractional derivative is discussed. It turns out that, under some conditions, the solutions to the initial-value problems for this equation are completely monotone functions that can be represented in form of the linear combinations of the Mittag–Leffler functions with some power law weights. Special attention is given to the case of the relaxation equation with the second level derivative. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EQUATIONS
*PROJECTORS
*LAPLACE transformation
*INITIAL value problems
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 146538203
- Full Text :
- https://doi.org/10.3390/math8091561