کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6420561 1631798 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
چکیده انگلیسی


- Approximate controllability of fractional differential inclusions is studied.
- We use Bohnenblust-Karlin's fixed point theorem, Mainardi's function.
- Caputo fractional derivative is employed in term of Riemann-Liouville's derivative.
- An illustrative example is provided to show the effectiveness of the obtained theory.

In this paper, we formulate a new set of sufficient conditions for the approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay in Hilbert space. Bohnenblust-Karlin's fixed point theorem, Mainardi's function, fractional calculus and operator semigroups are used to establish the results under the assumption that the corresponding linear system is approximately controllable. In the end, an example is provided to illustrate the applicability of the obtained theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 256, 1 April 2015, Pages 232-246
نویسندگان
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