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APPML
2011

An operator theoretical approach to a class of fractional order differential equations

3 years 5 months ago
An operator theoretical approach to a class of fractional order differential equations
We propose a general method to obtain the representation of solutions for linear fractional order differential equations based on the theory of (a, k)-regularized families of operators. We illustrate the method in case of the fractional order differential equation Dα t u (t) + µDα t u(t) = Au(t) + t−α Γ(1 − α) (u (0) + µu(0)) + f(t), t > 0, 0 < α ≤ 1, where A is an unbounded closed operator defined on a Banach space X and f is a X-valued function.
Carlos Lizama
Added 12 May 2011
Updated 12 May 2011
Type Journal
Year 2011
Where APPML
Authors Carlos Lizama
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