On Solutions of Hybrid Time Fractional Heat Problem
by Suleyman Cetinkaya   Ali Demir  

Vol. 16 No. 1 (2021) P.49~P.62

DOI:	https://doi.org/10.21915/BIMAS.2021103
	10.21915/BIMAS.2021103

ABSTRACT

In this research, the analytic solution of hybrid fractional differential equation with non-homogenous Dirichlet boundary conditions in one dimension is established. Since non-homogenous initial boundary value problem involves hybrid fractional order derivative, it has classical initial and boundary conditions. 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. Illustrative example presents the applicability and influence of separation of variables method on fractional mathematical problems.

KEYWORDS
Hybrid Fractional Derivative, bivariate Mittag-Leffler function, non- homogenous Dirichlet boundary conditions, spectral method

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 26A33, 65M70

MILESTONES

Received: 2021-03-18
Revised :
Accepted:

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