Solutions of two-term time fractional order differential equations with nonlocal initial conditions

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...

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Bibliographic Details
Main Author: Carlos Lizama
Format: Article
Language:English
Published: University of Szeged 2012-10-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
generalization of semigroups
two-term time fractional derivative
sectorial operators
nonlocal initial conditions
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1769

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1769

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