Affiliation:
1. TC MİLLİ EĞİTİM BAKANLIĞI
2. SİVAS CUMHURİYET ÜNİVERSİTESİ
Abstract
In this paper, we consider a diffusion operator which includes conformable fractional derivatives of order α (0<α≤1) instead of the ordinary derivatives in a traditional diffusion operator. We give an α-integral representation for the solution of this operator and obtain the conditions provided by the kernel functions in this representation. Also, by investigating the basic properties of this operator, we obtain the asymptotics of the data {λ_n,α_n }, which are called the spectral data of the operator.
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