An operator theoretical approach to a class of fractional order differential equations
نویسندگان
چکیده
منابع مشابه
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 D t u ′(t) + μD 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 defin...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.08.042