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Burger Equation analysis utilizing the Fractal Fractional Derivative | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 04 آبان 1405 اصل مقاله (1.17 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.70545.3513 | ||
| نویسندگان | ||
| Shilpi Jain1؛ Jyoti Mishra2؛ Ali Akgul3؛ Praveen Agarwal* 4 | ||
| 1Department of Mathematics, Poornima College of Engineering, India. | ||
| 2Department of Mathematics, Gyan Ganga Institute of Technology and Sciences, Jabalpur (M.P.), India. | ||
| 31. Department of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India. 2. Faculty of Science, Department of Computer Sciences, Karadeniz Technical University, Trabzon, Türkiye. 3. Department of Mathematics, Faculty of Arts and Sciences, Siirt University,56100 Siirt, Türkiye. 4. Department of Computer Engineering, Biruni University, 34010 Topkapı, Istanbul, Türkiye. 5. Mathematics Research Center, Department of Mathematics, Near East University, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Türkiye. 6. Applied Science Research Center, Applied Science Private University, Amman, Jordan. | ||
| 41. Department of Mathematical Science, Saveetha School of Engineering, Chennai, Tamilnadu, 602105 India. 2. Faculty of Science, Department of Computer Sciences, Karadeniz Technical University, Trabzon, Türkiye. 3. Scientific Research Centre, Baku Engineering University, Baku AZ0102, Azerbaijan. 4. International Telematic University Uninettuno, Corso Vittorio Emanuele II, 00186 Rome, Italy. | ||
| چکیده | ||
| This paper conducts an analytical investigation of Burger's equation by incorporating fractal dimensions and non-integer orders of differentiation into the conventional framework of fractional calculus. As a case study, the Caputo-Fabrizio operator, the fractal fractional derivatives with Caputo derivative, and the ABC are studied. The notion of a fractal medium is seen in numerous practical applications. This paper develops multiple strategies for the Schnakenberg model by utilizing freshly introduced numerical methods. This study develops a solution to the Burger problem using several fractal-fractional derivative kernels. The stability study of the fractal fractional derivative is also examined. | ||
| کلیدواژه‌ها | ||
| Burger equation؛ Fractal Fractional Derivative؛ Numerical scheme | ||
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آمار تعداد مشاهده مقاله: 5 تعداد دریافت فایل اصل مقاله: 6 |
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