TY  - JOUR
TI  - Time fractional problem via inner product including weighted function
AB  - In this research, we discuss the construction of analytic solution of homogenous initial boundary value problem including PDEs of fractional order. Since homogenous initial boundary value probleminvolves Caputo fractional order derivative, ithas classical initial and boundaryconditions. By means of separation of variables method and the inner product defined on L^2 [0,l], the solution is constructed in the form of a Fourier series with respect to the eigenfunctions of a corresponding Sturm-Liouville eigenvalue problem including fractional derivative in Caputo sense used in this study. We defined a new inner product with a weighted function to get coefficients in the Fourier series. Illustrative example presents the applicability and influence of separation of variables method on fractional mathematical problems.
AU  - ÇETİNKAYA, Süleyman
AU  - DEMİR, ALİ
DO  - 10.25092/baunfbed.857640
PY  - 2022
JO  - Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
VL  - 24
IS  - 1
SN  - 1301-7985
SP  - 91
EP  - 99
DB  - TRDizin
UR  - http://search/yayin/detay/523061
ER  -