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فهرست نشریات دارای اعتبار وزارت علوم، تحقیقات و فناوری
پایگاه استنادی علوم جهان اسلام (ISC)

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Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. (1404). Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method. سامانه مدیریت نشریات علمی, 13(4), 1201-1215. doi: 10.22034/cmde.2024.53470.2253
Shivaji Ashok Tarate; Ashok P Bhadane; Shrikisan B Gaikwad; Kishor Ashok Kshirsagar. "Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method". سامانه مدیریت نشریات علمی, 13, 4, 1404, 1201-1215. doi: 10.22034/cmde.2024.53470.2253
Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. (1404). 'Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method', سامانه مدیریت نشریات علمی, 13(4), pp. 1201-1215. doi: 10.22034/cmde.2024.53470.2253
Tarate, Shivaji, Bhadane, Ashok, Gaikwad, Shrikisan, Kshirsagar, Kishor. Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method. سامانه مدیریت نشریات علمی, 1404; 13(4): 1201-1215. doi: 10.22034/cmde.2024.53470.2253

Semi-analytical solutions for time-fractional Cauchy reaction-diffusion equations via the new Elazki transform iterative method

Computational Methods for Differential Equations
مقاله 10، دوره 13، شماره 4، دی 2025، صفحه 1201-1215    اصل مقاله (4.07 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 this paper shows, a graphical interpretation of the solution using the mathematical software “Mathematica Wolform” and considering Caputo’s sense derivatives to analytical results, the suggested strategy is efficient and straightforward
کلیدواژه‌ها
Caputo fractional derivative؛ Elzaki transform؛ Cauchy reaction-diffusion equations
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