On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product
Yıl: 2023 Cilt: 6 Sayı: 1 Sayfa Aralığı: 1 - 5 Metin Dili: İngilizce DOI: 10.34088/kojose.1075529 İndeks Tarihi: 31-07-2023
On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product
Öz: This research aims to accomplish an analytic solution to mathematical models involving space-time fractional differential equations in the conformable sense in series form through the weighted inner product and separation of variables method. The main advantage of this method is that various linear problems of any kind of differential equations can be solved by using this method. First, the corresponding eigenfunctions are established by solving the Sturm-Liouville eigenvalue problem. Secondly, the coefficients of the eigenfunctions are determined by employing weighted inner product and initial condition. Thirdly, the analytic solution to the problem is constructed in the series form. Finally, an illustrative example is presented to show how this method is implemented for fractional problems and exhibit its effectiveness and accuracy.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | ÇETINKAYA S, DEMİR A (2023). On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. , 1 - 5. 10.34088/kojose.1075529 |
| Chicago | ÇETINKAYA SÜLEYMAN,DEMİR ALİ On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. (2023): 1 - 5. 10.34088/kojose.1075529 |
| MLA | ÇETINKAYA SÜLEYMAN,DEMİR ALİ On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. , 2023, ss.1 - 5. 10.34088/kojose.1075529 |
| AMA | ÇETINKAYA S,DEMİR A On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. . 2023; 1 - 5. 10.34088/kojose.1075529 |
| Vancouver | ÇETINKAYA S,DEMİR A On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. . 2023; 1 - 5. 10.34088/kojose.1075529 |
| IEEE | ÇETINKAYA S,DEMİR A "On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product." , ss.1 - 5, 2023. 10.34088/kojose.1075529 |
| ISNAD | ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product". (2023), 1-5. https://doi.org/10.34088/kojose.1075529 |
| APA | ÇETINKAYA S, DEMİR A (2023). On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. Kocaeli Journal of Science and Engineering, 6(1), 1 - 5. 10.34088/kojose.1075529 |
| Chicago | ÇETINKAYA SÜLEYMAN,DEMİR ALİ On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. Kocaeli Journal of Science and Engineering 6, no.1 (2023): 1 - 5. 10.34088/kojose.1075529 |
| MLA | ÇETINKAYA SÜLEYMAN,DEMİR ALİ On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. Kocaeli Journal of Science and Engineering, vol.6, no.1, 2023, ss.1 - 5. 10.34088/kojose.1075529 |
| AMA | ÇETINKAYA S,DEMİR A On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. Kocaeli Journal of Science and Engineering. 2023; 6(1): 1 - 5. 10.34088/kojose.1075529 |
| Vancouver | ÇETINKAYA S,DEMİR A On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product. Kocaeli Journal of Science and Engineering. 2023; 6(1): 1 - 5. 10.34088/kojose.1075529 |
| IEEE | ÇETINKAYA S,DEMİR A "On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product." Kocaeli Journal of Science and Engineering, 6, ss.1 - 5, 2023. 10.34088/kojose.1075529 |
| ISNAD | ÇETINKAYA, SÜLEYMAN - DEMİR, ALİ. "On the Solution of Mathematical Model Including Space-Time Fractional Diffusion Equation in Conformable Derivative, Via Weighted Inner Product". Kocaeli Journal of Science and Engineering 6/1 (2023), 1-5. https://doi.org/10.34088/kojose.1075529 |
