Kocaeli Journal of Science and Engineering

Kocaeli Journal of Science and Engineering

Equation Including Local Fractional Derivative and Neumann Boundary Conditions

Yazarlar: Süleyman ÇETİNKAYA, Ali DEMİR

Cilt 3 , Sayı 2 , 2020 , Sayfalar 59 - 63

Konular:Matematik, Uygulamalı

DOI:10.34088/kojose.797216

Anahtar Kelimeler:Local Fractional Derivative,Neumann boundary conditions,Spectral method,Separation of variables

Özet: 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.

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@article{2020, title={Equation Including Local Fractional Derivative and Neumann Boundary Conditions}, volume={3}, number={59–63}, publisher={Kocaeli Journal of Science and Engineering}, author={Süleyman ÇETİNKAYA,Ali DEMİR}, year={2020} }
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Süleyman ÇETİNKAYA,Ali DEMİR. (2020). Equation Including Local Fractional Derivative and Neumann Boundary Conditions (Vol. 3). Vol. 3. Kocaeli Journal of Science and Engineering.
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Süleyman ÇETİNKAYA,Ali DEMİR. Equation Including Local Fractional Derivative and Neumann Boundary Conditions. no. 59–63, Kocaeli Journal of Science and Engineering, 2020.
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