Positive Solutions for the Initial Value Problem of Fractional Evolution Equations
نویسندگان
چکیده
منابع مشابه
Positive solutions for discrete fractional initial value problem
In this paper, the existence and uniqueness of positive solutions for a class of nonlinear initial value problem for a finite fractional difference equation obtained by constructing the upper and lower control functions of nonlinear term without any monotone requirement .The solutions of fractional difference equation are the size of tumor in model tumor growth described by the Gompertz f...
متن کاملPositive Solutions for the Initial Value Problem of Fractional Evolution Equations
and Applied Analysis 3 Clearly, if the semigroup S(t) (t ≥ 0) is positive, then, by the definitions, the operators U(t) and V(t) are also positive for all t ≥ 0. The following lemma follows from the results in [14, Lemma 2.9] and [15, Lemmas 3.2–3.5]. Lemma 6. The operators U(t) and V(t) have the following properties. (i) For any fixed t ≥ 0 and any x ∈ Xα, one has ‖U(t)x‖α ≤ M‖x‖α, ‖V(t)x‖α ≤ ...
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2013
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2013/428793