- Kocaeli Journal of Science and Engineering
- Vol: 3 Issue: 2
- Equation Including Local Fractional Derivative and Neumann Boundary Conditions
Equation Including Local Fractional Derivative and Neumann Boundary Conditions
Authors : Süleyman Çetinkaya, Ali Demir
Pages : 59-63
Doi:10.34088/kojose.797216
View : 15 | Download : 5
Publication Date : 2020-11-30
Article Type : Research
Abstract :The aim of this study to discuss the construction of the solution of fractional partial differential equations (FPDEs) with initial and boundary conditions. Since the homogenous initial boundary value problem involves local fractional-order derivative, it has classical initial and boundary conditions. By means of the separation of variables method (SVM) and the inner product on L^2\left[0,l\right], we construct the solution in this series form in terms of eigenfunctions of related Sturm-Liouville problem. An illustrative example presents the applicability and influence of the separation of variables method on fractional mathematical problems.Keywords : Local Fractional Derivative, Neumann boundary conditions, Spectral method, Separation of variables