کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4958600 1364824 2017 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An inverse source problem for a two-parameter anomalous diffusion with local time datum
ترجمه فارسی عنوان
یک مسئله منبع معکوس برای انتشار غیرمستقیم دو پارامتر با زمان محلی زمان محلی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
We determine the space-dependent source term for a two-parameter fractional diffusion problem subject to nonlocal non-self-adjoint boundary conditions and two local time-distinct datum. A bi-orthogonal pair of bases is used to construct a series representation of the solution and the source term. The two local time conditions spare us from measuring the fractional integral initial conditions commonly associated with fractional derivatives. On the other hand, they lead to delicate 2×2 linear systems for the Fourier coefficients of the source term and of the fractional integral of the solution at t=0. The asymptotic behavior and estimates of the generalized Mittag-Leffler function are used to establish the solvability of these linear systems, and to obtain sufficient conditions for the existence of our construction. Analytical and numerical examples are provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 73, Issue 6, 15 March 2017, Pages 1008-1015
نویسندگان
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