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Ashraf, Muhammad, Muhammad, Noor, Masud, Md. Abdullah Bin, Alam, Md. Nur, Hossen, Md. Jakir. (1404). Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.68014.3265
Muhammad Ashraf; Noor Muhammad; Md. Abdullah Bin Masud; Md. Nur Alam; Md. Jakir Hossen. "Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order". سامانه مدیریت نشریات علمی, , , 1404, -. doi: 10.22034/cmde.2025.68014.3265
Ashraf, Muhammad, Muhammad, Noor, Masud, Md. Abdullah Bin, Alam, Md. Nur, Hossen, Md. Jakir. (1404). 'Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.68014.3265
Ashraf, Muhammad, Muhammad, Noor, Masud, Md. Abdullah Bin, Alam, Md. Nur, Hossen, Md. Jakir. Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order. سامانه مدیریت نشریات علمی, 1404; (): -. doi: 10.22034/cmde.2025.68014.3265

Modeling and Analysis of Dynamic Waveforms in Nonlinear Fractional Models of Fifth Order

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 07 آبان 1404    اصل مقاله (2.98 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.68014.3265
نویسندگان
Muhammad Ashraf1؛ Noor Muhammad2؛ Md. Abdullah Bin Masud3؛ Md. Nur Alam* 4؛ Md. Jakir Hossen5
1Department of Mathematics, CUI Vehari Campus, Vehari, Pakistan.
2School of Mathematics, Sichuan University, Chengdu 610065, China.
3Department of Mathematics, Jagannath University, Dhaka-1100, Bangladesh.
4Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh.
5Faculty of Engineering and Technology (FET), Multimedia University, Melaka-75450, Malaysia.
چکیده
The overarching purpose of this work is to derive new exact traveling wave solutions for a fifth-order generalized nonlinear fractional differential
equation (5th-order GNFDE) by applying the Improved Auxiliary equation method. This equation is characterized by M-fractional derivatives (M-FD), which offer a larger basis for modeling complex dynamical systems with memory effects. The proposed methodology enables various types of solutions designed in the shape of traveling wave solutions, solitary wave solutions, and other prominent solution types, indicating the robustness and versatility of the approach in dealing with nonlinear fractional differential equations. Some investigated solutions are demonstrated in 2D and 3D graphics by smearing definite values to the parameters under constrained conditions to boost the key propagating features. The results contribute significantly to the development of analytical techniques for solving high-order nonlinear fractional differential equations (NLFDE). In addition, the method is efficient and applicable to various non-linear systems, further enhancing its practical efficacy.
کلیدواژه‌ها
Improved Auxiliary Equation Method (IAE)؛ M-fractional derivatives (M-FD)؛ Nonlinear Fractional Differential Equations؛ Exact Traveling Wave Solutions؛ Fifth-Order Generalized Equations
آمار
تعداد مشاهده مقاله: 5
تعداد دریافت فایل اصل مقاله: 11


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