Solution of Integral Equations Involving Bessel Maitland Functions using Fractional Integral Operators
Prachi Jain1, Vandana Jat2
1Prachi Jain, Department of Mathematics, Motilal Vigyan Mahavidyalaya, Bhopal – 462008, Madhya Pradesh, India.
2Vandana Jat, Govt. College Patharia (Damoh) – 470666, Madhya Pradesh, India.
Manuscript received on 04 April 2021 | Revised Manuscript received on 08 April 2021 | Manuscript Accepted on 15 April 2021 | Manuscript published on 30 April 2021 | PP: 1-7 | Volume-1 Issue-1, April 2021 | Retrieval Number:100.1/ijam.A1108101121
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Abstract: In this paper, we have solved integral equation involving Bessel Maitland function. In case of single kernel the equations have been transforming by using Erdélyi-Kober operators to one having Fox’s H-function while the equations having summation of two or more Bessel Maitland functions have been transformed into a summation of two or more Hfunctions as kernel. In first case the solutions are expressed in terms of H-function while in second, the solutions are in terms of Saxena’s I-function. These results may be useful in finding solutions of problems in mathematical physics and engineering which are expressed as integral equations. Theparticular cases are also obtained.2010 Mathematics Subject Classification:33C70, 31B10, 33C60, 26A33.
Keywords: Bessel Maitland function, Erdélyi Koberfractional integral operators, Fox’s H- function, Saxena’s I-function.