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-, Nishant, Bhatter, Sanjay, Purohit, Sunil. (1403). Generalization of Katugampola fractional kinetic equation involving incomplete H-function. سامانه مدیریت نشریات علمی, 12(4), 842-856. doi: 10.22034/cmde.2024.57294.2395
Nishant -; Sanjay Bhatter; Sunil Dutt Purohit. "Generalization of Katugampola fractional kinetic equation involving incomplete H-function". سامانه مدیریت نشریات علمی, 12, 4, 1403, 842-856. doi: 10.22034/cmde.2024.57294.2395
-, Nishant, Bhatter, Sanjay, Purohit, Sunil. (1403). 'Generalization of Katugampola fractional kinetic equation involving incomplete H-function', سامانه مدیریت نشریات علمی, 12(4), pp. 842-856. doi: 10.22034/cmde.2024.57294.2395
-, Nishant, Bhatter, Sanjay, Purohit, Sunil. Generalization of Katugampola fractional kinetic equation involving incomplete H-function. سامانه مدیریت نشریات علمی, 1403; 12(4): 842-856. doi: 10.22034/cmde.2024.57294.2395

Generalization of Katugampola fractional kinetic equation involving incomplete H-function

Computational Methods for Differential Equations
مقاله 15، دوره 12، شماره 4، دی 2024، صفحه 842-856    اصل مقاله (1.32 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.57294.2395
نویسندگان
Nishant -1؛ Sanjay Bhatter1؛ Sunil Dutt Purohit* 2
1Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.
2Department of HEAS (Mathematics), Rajasthan Technical University, India. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
چکیده
In this article, Katugampola fractional kinetic equation (KE) has been expressed in terms of polynomials along with incomplete H-function, incomplete Meijer’s G-function, incomplete Fox-Wright function, and incomplete generalized hypergeometric function, weighing the novel significance of the fractional KE that appear in a variety of scientific and engineering scenarios. τ-Laplace transform is used to solve the Kathugampola fractional KE. The obtained solutions have been presented with some real values and the simulation was done via MATLAB. Furthermore, the numerical and graphical interpretations are also mentioned to illustrate the main results. Each of the obtained conclusions is of a general nature and is capable of generating the solutions to several fractional KE.
کلیدواژه‌ها
Fractional kinetic equation؛ Incomplete H-functions؛ Mellin-Barnes type contour
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