Oransal Gecikmeli Uyumlu Zaman Kesirli Genelleştirilmiş Burgers Denkleminin Yeni Yöntemlerle Sayısal Çözümü-Reference-Cited by-同舟云学术

Oransal Gecikmeli Uyumlu Zaman Kesirli Genelleştirilmiş Burgers Denkleminin Yeni Yöntemlerle Sayısal Çözümü

Published:2023-06-15 Issue:2 Volume:13 Page:310-335
ISSN:2564-7377
Container-title:Karadeniz Fen Bilimleri Dergisi
language:
Short-container-title:

Author:

KARTAL Abdullah¹^ORCID,ANAÇ Halil²^ORCID,OLGUN Ali³^ORCID

Affiliation:

1. KIRIKKALE ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (YL) (TEZLİ)

2. GUMUSHANE UNIVERSITY, TORUL VOCATIONAL SCHOOL

3. KIRIKKALE ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, MATEMATİK PR.

Abstract

By using two new methods, called the conformable fractional q-homotopy analysis transform method and the conformable Shehu homotopy perturbation method, the conformable time-fractional partial differential equations with proportional delay is analysed. The graphs of this equation's numerical solutions are drawn. According to numerical simulations, the proposed methods are effective and reliable.

Publisher

Karadeniz Fen Bilimleri Dergisi

Reference39 articles.

1. Abazari, R., and Ganji, M. (2011). Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay. International Journal of Computer Mathematics, 88(8), 1749–1762.

2. Abazari, R., and Kılıcman, A. (2014). Application of differential transform method on nonlinear integro–differential equations with proportional delay. Neural Computing and Applications, 24(2), 391–397.

3. Abdeljawad, T. (2015). On conformable fractional calculus. Journal of Computational and Applied Mathematics, 279, 57-66.

4. Ala, V. (2022). New exact solutions of space-time fractional Schrödinger-Hirota equation. Bulletin of the Karaganda University Mathematics Series, 107(3).

5. Ala, V., and Shaikhova, G. (2022). Analytical Solutions of Nonlinear Beta Fractional Schrödinger Equation Via Sine-Cosine Method. Lobachevskii Journal of Mathematics, 43(11), 3033-3038.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A hybrid method to solve a fractional-order Newell–Whitehead–Segel equation;Boundary Value Problems;2024-03-18

2. The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method;Ikonion Journal of Mathematics;2023-11-20