- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- On a nonnegativity principle with applications to a certain multiterm fractional boundary value prob...
On a nonnegativity principle with applications to a certain multiterm fractional boundary value problem
Authors : Noureddine Ferfar, Said Mazouzi
Pages : 1296-1307
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The main object of the present paper is to state and prove a general nonnegativity principle in the framework of multiterm fractional differential equations, which we use to investigate some iterative monotone sequences of lower and upper solutions to a certain fractional eigenvalue problem. The obtained results can be easily extended to fractional differential equations of distributed orders since the latter are the natural extension of multiterm fractional differential equations.Keywords : Nonnegativity principle, multiterm fractional differential equations, boundary value problem, lower and upper solutions