کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631888 | 1340631 | 2011 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Weighted pseudo almost automorphic mild solutions to semilinear fractional differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is concerned with the existence and uniqueness of weighted pseudo almost automorphic mild solution to the semilinear fractional equation: Dtαu(t)=Au(t)+Dtα-1f(t,u(t),Bu(t)),t∈R,1<α<2 where A is a linear densely defined operator of sectorial type on a complex Banach space XX and B is a bounded linear operator defined on XX. Under the assumption of uniformly continuity on f, we establish a composition of weighted pseudo almost automorphic in a general Banach space and obtain existence results by means of Banach contraction mapping. The results obtained are utilized to study the existence and uniqueness of a weighted pseudo almost automorphic solution to fractional diffusion wave equation with Dirichlet conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 19, 1 June 2011, Pages 7579–7587
Journal: Applied Mathematics and Computation - Volume 217, Issue 19, 1 June 2011, Pages 7579–7587
نویسندگان
Gisèle M. Mophou,