Generalized Mittag-Leffler-confluent hypergeometric functions in fractional calculus integral operator with numerical solutions

被引:0
|
作者
Ghanim, Firas [1 ]
Khan, Fareeha Sami [2 ]
Ali, Ali Hasan [3 ,4 ,5 ,6 ]
Atangana, Abdon [7 ]
机构
[1] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates
[2] Fed Urdu Univ Arts Sci & Technol, Dept Math Sci, Karachi 75300, Pakistan
[3] Basrah Univ, Coll Educ Pure Sci, Dept Math, Basrah 61001, Iraq
[4] Univ Debrecen, Inst Math, Pf 400, H-4002 Debrecen, Hungary
[5] Al Imam Univ Coll, Dept Business Management, Balad, Iraq
[6] Al Ayen Univ, Tech Engn Coll, Dhi Qar 64001, Iraq
[7] Univ Free State, Fac Nat & Agr Sci, Bloemfontein, South Africa
关键词
Laplace transform; Fractional calculus; Confluent hypergeometric function; Mittag-Leffler function; Integral operator; Power series; CONVOLUTION TRANSFORM; EQUATIONS; FAMILIES;
D O I
10.1016/j.jmaa.2024.128917
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The Mittag-Leffler and confluent hypergeometric functions were originally developed to extend the exponential function and its area of applications. This study aims to examine some operators involving generalized Mittag-Leffler-type functions in the kernels, employing the generalized Fox-Wright function in specific circumstances. Furthermore, we investigate some of the commonly utilized generalized fractional integral operators in fractional calculus. Moreover, a numerical technique is developed to solve fractional differential equations of both kinds, linear and nonlinear. The graphic results of the examples show how effective this method is at solving fractional differential equations. Lastly, various effects and implications of these results are thoroughly examined. (c) 2024 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页数:25
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