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Kshirsagar, Kishor, Nikam, Vasant, Gaikwad, Shrikisan, Tarate, Shivaji. (1403). An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method. سامانه مدیریت نشریات علمی, 12(4), 763-779. doi: 10.22034/cmde.2024.52246.2185
Kishor Ashok Kshirsagar; Vasant R Nikam; Shrikisan B Gaikwad; Shivaji Ashok Tarate. "An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method". سامانه مدیریت نشریات علمی, 12, 4, 1403, 763-779. doi: 10.22034/cmde.2024.52246.2185
Kshirsagar, Kishor, Nikam, Vasant, Gaikwad, Shrikisan, Tarate, Shivaji. (1403). 'An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method', سامانه مدیریت نشریات علمی, 12(4), pp. 763-779. doi: 10.22034/cmde.2024.52246.2185
Kshirsagar, Kishor, Nikam, Vasant, Gaikwad, Shrikisan, Tarate, Shivaji. An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method. سامانه مدیریت نشریات علمی, 1403; 12(4): 763-779. doi: 10.22034/cmde.2024.52246.2185

An innovative computational approach for fuzzy space-time fractional Telegraph equation via the new iterative transform method

Computational Methods for Differential Equations
مقاله 10، دوره 12، شماره 4، دی 2024، صفحه 763-779    اصل مقاله (2.06 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.52246.2185
نویسندگان
Kishor Ashok Kshirsagar* 1؛ Vasant R Nikam2؛ Shrikisan B Gaikwad1؛ Shivaji Ashok Tarate1
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 paper, the Fuzzy Sumudu Transform Iterative method (FSTIM) was applied to find the exact fuzzy solution of the fuzzy space-time fractional telegraph equations using the Fuzzy Caputo Fractional Derivative operator. The Telegraph partial differential equation is a hyperbolic equation representing the reaction-diffusion process in various fields. It has applications in engineering, biology, and physics. The FSTIM provides a reliable and efficient approach for obtaining approximate solutions to these complex equations improving accuracy and allowing for fine-tuning and optimization for better approximation results. The work introduces a fuzzy logic-based approach to Sumudu transform iterative methods, offering flexibility and adaptability in handling complex equations. This innovative methodology considers uncertainty and imprecision, providing comprehensive and accurate solutions, and advancing numerical methods. Solving the fuzzy space-time fractional telegraph equation used a fusion of the Fuzzy Sumudu transform and iterative approach. Solution of fuzzy fractional telegraph equation finding analytically and interpreting its results graphically. Throughout the article, whenever we draw graphs, we use Mathematica Software. We successfully employed FSTIM, which is elegant and fast to convergence.
کلیدواژه‌ها
Fuzzy Sumudu Transform؛ Fuzzy Fractional differential equations؛ Fuzzy Telegraph equations؛ Fuzzy Sumudu Iterative transform method
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