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

 آمار

تعداد نشریات45
تعداد شماره‌ها1,499
تعداد مقالات18,291
تعداد مشاهده مقاله59,376,186
تعداد دریافت فایل اصل مقاله20,752,380
Bhargava, Alok, Suthar, Dayalal, Sharma, Komal Prasad. (1405). A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function. سامانه مدیریت نشریات علمی, 14(2), 567-580. doi: 10.22034/cmde.2024.61477.2651
Alok Bhargava; Dayalal Suthar; Komal Prasad Sharma. "A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function". سامانه مدیریت نشریات علمی, 14, 2, 1405, 567-580. doi: 10.22034/cmde.2024.61477.2651
Bhargava, Alok, Suthar, Dayalal, Sharma, Komal Prasad. (1405). 'A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function', سامانه مدیریت نشریات علمی, 14(2), pp. 567-580. doi: 10.22034/cmde.2024.61477.2651
Bhargava, Alok, Suthar, Dayalal, Sharma, Komal Prasad. A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function. سامانه مدیریت نشریات علمی, 1405; 14(2): 567-580. doi: 10.22034/cmde.2024.61477.2651

A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function

Computational Methods for Differential Equations
مقاله 4، دوره 14، شماره 2، تیر 2026، صفحه 567-580    اصل مقاله (527.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2024.61477.2651
نویسندگان
Alok Bhargava1؛ Dayalal Suthar* 2؛ Komal Prasad Sharma3
1Department of Mathematics, Manipal University Jaipur, Jaipur, India.
21. Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, Ethiopia. \\ 2.Department of Mathematics, Saveetha School of Engineering, Thandalam 600124, Chennai India.
3Department of Mathematics, NIMS University Rajasthan, Jaipur, India.
چکیده
In the present work, the generalized fractional kinetic equations (FKE) incorporating the composition of Multi
Index Bessel function and Srivastava polynomial are expressed with their fractional derivatives. Moreover, by
employing the idea of the Laplace transform, solutions are obtained in terms of the Mittag-Leffler function.
Finally, a numerical and graphical interpretation of the outcome is displayed.
کلیدواژه‌ها
Generalized fractional kinetic equation؛ Srivastava Polynomial؛ Multi-Index Bessel function؛ Fractional derivative؛ Laplace transform؛ Mittag-Leffler function
مراجع
  • [1] P. Agarwal, R. P. Agarwal, and M. Ruzhansky, Special Functions and Analysis of Differential Equations, Chapman and Hall/CRC, New York, 2020.
  • [2] P. Agarwal, M. Chand, D. Baleanu, D. O’Regan, and S. Jain, On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function, Adv. Difference Equ., (2018), Paper No. 249, 13 pp.
  • [3] W. F. S. Ahmad, A. Y. A. Salamooni, and D. D. Pawar, solution of fractional kinetic equation for Hadamard type fractional integral via Mellin transform, Gulf J. Math., 12(1) (2022), 15–27.
  • [4] E. Ata and I. O. Kiymaz, Special functions with general kernel: Properties and applications to fractional partial differential equations, International Journal of Mathematics and Computer in Engineering, 3(2) (2025), 153—170.
  • [5] J. Choi and P. Agarwal, A note on fractional integral operator associated with multi-index Mittag-Leffler, Filomat, 30 (2016), 1931–1939.
  • [6] J. Choi and D. Kumar, Solutions of generalized fractional kinetic equations involving Aleph functions, Math. Commun., 20 (2015), 113–123.
  • [7] P. A. Clarkson, Painlevé equations—nonlinear special functions, J. Comput. Appl. Math., 153(1-2) (2003), 127– 140.
  • [8] J. H. He, Special functions for solving nonlinear differential equations, Int. J. Appl. Comput. Math, 7(3) (2021), Paper No. 84, 6 pp.
  • [9] H. Habenom, A. Oli, and D. L. Suthar, (p, q)-Extended Struve function: Fractional integrations and application to fractional kinetic equations, J. Math., 2021 (2021), Article ID 5536817, 10 pp.
  • [10] H. Habenom, D. L. Suthar, and M. Gebeyehu, Application of Laplace transform on fractional kinetic equation pertaining to the generalized Galué type Struve function. Adv. Math. Phys., 2019 (2019), Article ID 5074039, 8 pp.
  • [11] H. J. Haubold and A. M. Mathai, The fractional kinetic equation and thermonuclear functions, Astrophysics and Space Science, 273(1-4) (2000), 53–63.
  • [12] K. Jangid, S. D. Purohit, R. Agarwal, and R. P. Agarwal,On the generalization of fractional kinetic equation comprising incomplete H-function, Kragujevac J. Math., 47(5) (2023), 701–712.
  • [13] K. B. Kachhia and J. C. Prajapati, On generalized fractional kinetic equations involving generalized LommelWright functions, Alexandria Eng. J., 55(3) (2016), 2953–2957.
  • [14] V. S. Kiryakova, Multiple (multi-index) Mittag-Leffler functions and relation to generalized fractional calculus, J. Comput. Appl. Math., 118 (2000), 241–259.
  • [15] D. Kumar, J. Choi, and H. M. Srivastava, solution of a general family of fractional kinetic equations associated with the generalized Mittag-leffler function, Nonlinear Funct. Anal. Appl., 23(3) (2018), 455–471.
  • [16] D. Kumar, S. D. Purohit, A. Secer, and A. Atangana, On generalized fractional kinetic equation involving generalized Bessel functions of the first kind, Math. Problem Eng., 2015 (2015), Article ID 289387.
  • [17] M. J. Luo and R. K. Raina, On certain classes of fractional kinetic equations, Filomat, 28(10) (2014), 2077–2090.
  • [18] K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, New York, USA, 1993.
  • [19] E. Mittal, D. Sharma, and S. D. Purohit, Katugampola kinetic fractional equations with its solutions, Results Nonlinear Anal., 5(3) (2022), 325—336.
  • [20] J. Niedziela, Bessel Functions and Their Applications, University of Tennessee, Knoxville, 2008.
  • [21] Nishant, S. Bhatter, and S. D. Purohit, Generalization of Katugampola fractional kinetic equation involving incomplete H-function, Comput. Methods Differ. Equ., 12(4) (2024), 842—856.
  • [22] K. S. Nisar, S. D. Purohit, D. L. Suthar, and J. Singh, Fractional calculus and certain integrals of generalized multi-index Bessel function, Mathematical Modelling, Applied Analysis and Computation, Springer Proc. Math. Stat., 272 Springer, Singapore, 2019.
  • [23] K. S. Nisar, A. Shaikh, G. Rahman, and D. Kumar, Solution of fractional kinetic equations involving class of functions and Sumudu transform, Adv. Difference Equ., (2020), Paper No. 39, 11 pp.
  • [24] M. A. Ozarslan, Some families of generating functions for the extended Srivastava polynomials, Appl. Math. Comput., 218 (3) (2011), 959–964.
  • [25] V. K. Pathak, L. N. Mishra, and V. N. Mishra, On the solvability of a class of nonlinear functional integral equations involving Erdélyi–Kober fractional operator, Math. Methods Appl. Sci., 46(13) (2023), 14340—14352.
  • [26] E. D. Rainville, Special Functions, Macmillan Co., New York 1963.
  • [27] M. B. Riaz, K. A. Abro, Abualnaja, K. M. Abualnaja, A. Akgül, A. U. Rehman, M. Abbas, and Y. S. Hamed, Exact solutions involving special functions for unsteady convective flow of magnetohydrodynamic second grade fluid with ramped conditions. Adv. Difference Equ., (2021), Paper No. 408, 14 pp.
  • [28] R. K. Saxena and S. L. Kalla, On the solutions of certain fractional kinetic equations, Appl. Math. Comput., 199(2) (2008), 504–511.
  • [29] J. L. Schiff, The Laplace Transform: Theory and Applications, Springer, New York, NY, USA, 1999.
  • [30] K. P. Sharma and A. Bhargava, An approach of Sumudu transform to fractional kinetic equations, Adv. Math.: Sci. J., 9(9) (2020), 7045–7056.
  • [31] K. P. Sharma and A. Bhargava, A note on properties of Mittag-Leffler function under generalized fractional integral operators, Int. J. Mech. Eng., 7(5) (2022), 194–204.
  • [32] K. P. Sharma, A. Bhargava, and D. L. Suthar, Application of the Laplace transform to a new form of fractional kinetic equation involving the composition of the Galue Struve function and the Mittag-Leffler function, Math. Problem Eng., 2022 (2022), Article ID 5668579, 11 pp.
  • [33] G. Singh, P. Agarwal, M. Chand, and S. Jain, Certain fractional kinetic equations involving generalized k-Bessel function, Trans. A. Razmadze Math. Inst., 172(3) (2018), 559–570.
  • [34] I. A. Bhat and L. N. Mishra, A comparative study of discretization techniques for augmented Urysohn type nonlinear functional Volterra integral equations and their convergence analysis, Appl. Math. Comput., 470 (2024), Paper No. 128555, 20 pp.
  • [35] H. M. Srivastava and Z. Tomovski, Fractional calculus with an integral operator containing a generalized MittagLeffler function in the kernel, Appl. Math. Comput., 211(1) (2009), 198–210.
  • [36] D. L. Suthar, D. Kumar, and H. Habenom, Solutions of fractional kinetic equation associated with the generalized multiindex Bessel function via Laplace-transform. Differ. Equ. Dyn. Syst., 31(2) (2023), 357–370.
  • [37] D. L. Suthar, S. D. Purohit, and S. Araci, Solution of fractional kinetic equations associated with the (p, q)Mathieu-type series, Discrete Dyn. Nat. Soc., 2020 (2020), Article ID 8645161, 7 pp.
  • [38] D. L. Suthar, S. D. Purohit, H. Habenom, and J. Singh, Class of integrals and applications of fractional kinetic equation with the generalized multi-index Bessel function, Discrete Contin. Dyn. Syst. Ser. S, 14(10) (2021), 3803-3819.
  • [39] D. L. Suthar, S. D. Purohit, R. K. Parmar, and L. N. Mishra, Integrals involving product of Srivastava’s polynomials and multiindex Bessel function, Thai J. Math., 19(4) (2021), 1407–1415.
  • [40] A. Wiman, Uber de fundamental theorie der funktionen Eα(x), Acta Mathematica, 29(1) (1905), 191–201.
آمار
تعداد مشاهده مقاله: 322
تعداد دریافت فایل اصل مقاله: 420


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب