Yayınlanmış 1 Ocak 2013
| Sürüm v1
Dergi makalesi
Açık
A UNIQUENESS RESULT FOR AN INVERSE PROBLEM IN A SPACE-TIME FRACTIONAL DIFFUSION EQUATION
Oluşturanlar
- 1. Zirve Univ, Fac Educ, Dept Math, TR-27270 Sahinbey, Gaziantep, Turkey
Açıklama
Fractional (nonlocal) diffusion equations replace the integer-order derivatives in space and time by fractional-order derivatives. This article considers a nonlocal inverse problem and shows that the exponents of the fractional time and space derivatives are determined uniquely by the data u(t, 0) = g(t), 0 < t < T. The uniqueness result is a theoretical background for determining experimentally the order of many anomalous diffusion phenomena, which are important in physics and in environmental engineering.
Dosyalar
bib-64649b76-4b1f-47d3-885d-f7fb0647fd35.txt
Dosyalar
(166 Bytes)
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