Review on Different Special Functions in Fractional Calculus

Bhaktaraj Thiyam^1, , Konthoujam Ibochouba Singh², Md. Indraman Khan³, Md. Mazhar Ul Haque⁴ and R.K Pratima Devi²

¹Department of Mathematics, Manipur International University, Imphal, India

²Department of Mathematics, Manipur International University, Imphal

³Department of Mathematics, PETTIGREW College, Ukhrul, Manipur University

⁴Department of Mathematics, MAEER’s MIT Pune, MIT College, Nanded

Cite this paper:
Bhaktaraj Thiyam, Konthoujam Ibochouba Singh, Md. Indraman Khan, Md. Mazhar Ul Haque and R.K Pratima Devi. Review on Different Special Functions in Fractional Calculus. International Journal of Partial Differential Equations and Applications. 2022; 9(1):7-12. doi: 10.12691/ijpdea-9-1-2

Abstract

In this paper, we reviewed the specific tasks involved in solving different mathematical equations or fractional integral. Since solutions for different component of modeling models from various fields such as physics, engineering, chemistry, biological etc. involve special work as part of their solutions, here, we review and include the type and general- ization of such specialized functions.

Keywords:
special functions fractional integral calculus Mittag-Leffler function Fox H-function hyper-Bessel function

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