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SEMI-ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL CAUCHY REACTION -DIFFUSION EQUATIONS VIA NEW ELZAKI TRASFORM ITERATIVE METHOD | ||
Computational Methods for Differential Equations | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 09 مهر 1403 اصل مقاله (4.73 M) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22034/cmde.2024.53470.2253 | ||
نویسندگان | ||
Shivaji Ashok Tarate* 1؛ Ashok P Bhadane2؛ Shrikisan B Gaikwad1؛ Kishor Ashok Kshirsagar1 | ||
1Department of Mathematics, New Arts, Commerce and Science College, Ahmednagar, Maharashtra, India. | ||
2Department of Mathematics, Loknete Vyankatrao Hiray Arts, Science and Commerce College, Nashik, Maharashtra, India. | ||
چکیده | ||
In this article, the estimated analytic solutions for Time-fractional Cauchy reaction-diffusion equations (CRDE) are obtained using a New Elzaki transform iterative method (NETIM). This method is the fusion of The Elzaki transform and the Iterative approach. The proposed technique is elegant and easy to adopt and comprehend. The semi-analytical results demonstrate, as well as this paper shows, a graphical interpretation of the solution using the mathematical software “Mathematica Wolform” and considering Caputo’s sense derivatives to analytical results that the suggested strategy is efficient and straightforward. | ||
کلیدواژهها | ||
Caputo fractional derivative؛ Elzaki Transform؛ Cauchy reaction-diffusion equations | ||
آمار تعداد مشاهده مقاله: 40 تعداد دریافت فایل اصل مقاله: 73 |