Distributed order derivatives and relaxation patterns
نویسندگان
چکیده
منابع مشابه
The Two Forms of Fractional Relaxation of Distributed Order
The first-order differential equation of exponential relaxation can be generalized by using either the fractional derivative in the Riemann–Liouville (R-L) sense and in the Caputo (C) sense, both of a single order less than 1. The two forms turn out to be equivalent. When, however, we use fractional derivatives of distributed order (between zero and 1), the equivalence is lost, in particular on...
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Inequality (1.2) is classical and very well known. It has been the object of extensions and variants which can be found in a number of papers and monographs, including [AFLT], [Bae], [BBMP], [BH], [Bro], [BZ], [CP], [E], [H], [Ka2], [Kl], [Ma], [Sp1], [Sp2], [Spi], [Ta1], [Ta5], and [Ta6]. Even if not as popular as (1.2), inequality (1.1) has also been known for a long time, and versions of it ...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2009
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/42/31/315203