Spectral Criteria for Solvability of Boundary Value Problems and Positivity of Solutions of Time‐Fractional Differential Equations
Valentin Keyantuo,
Carlos Lizama and
Mahamadi Warma
Abstract and Applied Analysis, 2013, vol. 2013, issue 1
Abstract:
We investigate mild solutions of the fractional order nonhomogeneous Cauchy problem Dtαu(t)=Au(t)+f(t), t>0, where 0 0 in which Φα is a Wright type function. For the first order case, that is, α = 1, the corresponding result was proved by Prüss in 1984. In case X is a Banach lattice and the semigroup (T(t)) t≥0 is positive, we obtain existence of solutions of the semilinear problem Dtαu(t)=Au(t)+f(t,u(t)), t>001,
Date: 2013
References: Add references at CitEc
Citations:
Downloads: (external link)
https://doi.org/10.1155/2013/614328
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:614328
Access Statistics for this article
More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().