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Riyasdeen, Syed Bahurudeen, Tamilselvan, Ayyadurai, Elango, Sekar. (1404). Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations. فیزیولوژی و بیوتکنولوژی آبزیان, (), -. doi: 10.22124/jmm.2026.31926.2881
Syed Bahurudeen Riyasdeen; Ayyadurai Tamilselvan; Sekar Elango. "Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations". فیزیولوژی و بیوتکنولوژی آبزیان, , , 1404, -. doi: 10.22124/jmm.2026.31926.2881
Riyasdeen, Syed Bahurudeen, Tamilselvan, Ayyadurai, Elango, Sekar. (1404). 'Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations', فیزیولوژی و بیوتکنولوژی آبزیان, (), pp. -. doi: 10.22124/jmm.2026.31926.2881
Riyasdeen, Syed Bahurudeen, Tamilselvan, Ayyadurai, Elango, Sekar. Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; (): -. doi: 10.22124/jmm.2026.31926.2881

Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations

Journal of Mathematical Modeling
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 05 اسفند 1404    اصل مقاله (430.18 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2026.31926.2881
نویسندگان
Syed Bahurudeen Riyasdeen1؛ Ayyadurai Tamilselvan* 2؛ Sekar Elango3
1Department of Mathematics, Khadir Mohideen College, Adirampattinam, Tamil Nadu, India
2Department of Mathematics, Bharathidasan University, Tiruchirapalli, Tamil Nadu, India
3Department of Mathematics, Amrita School of Physical Science, Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India
چکیده
In this article, we propose a Fractional Integral Residual Minimization Method (FIRMM) to solve Fractional Differential Equations (FDEs) with the Caputo derivative. We provide a detailed and rigorous study of convergence analysis and stability analysis of FIRMM under suitable assumptions. Also, we extend the method FIRMM to solve a class of system of Caputo FDEs with a detailed and rigorous study on convergence analysis and stability analysis under suitable assumptions. The efficacy of our proposed method is established through numerical experiments. The advantages and limitations of FIRMM are analyzed.
کلیدواژه‌ها
Fractional differential equations؛ semi-analytical method؛ volterra integral equations؛ special functions؛ initial value problems
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تعداد مشاهده مقاله: 4
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