Solutions of two-term time fractional order differential equations with nonlocal initial conditions
We study the existence of mild solutions for the two-term fractional order abstract differential equation $${D}^{\alpha+1}_t u(t) + \mu {D}_t^{\beta} u(t) - Au(t) = D^{\alpha-1}_t f(t,u(t)), \quad t\in [0,1], \quad 0 < \alpha \leq \beta \leq 1, \mu \geq 0,$$ with nonlocal initial conditions and w...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-10-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1769 |