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Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions

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dc.contributor.author Chand M.
dc.contributor.author Prajapati J.C.
dc.contributor.author Bonyah E.
dc.contributor.author Bansal J.K.
dc.date.accessioned 2022-10-31T15:05:25Z
dc.date.available 2022-10-31T15:05:25Z
dc.date.issued 2020
dc.identifier.issn 19371632
dc.identifier.other 10.3934/dcdss.2020030
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/414
dc.description Chand, M., Department of Mathematics Baba Farid College, Bathinda-, 151001, India; Prajapati, J.C., Post Graduate Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, 388120, India; Bonyah, E., Department of Mathematics Education, University of Education Winneba, Kumasi Campus, Ghana; Bansal, J.K., Department of Applied Sciences, Guru Kashi University, Bathinda, 1513002, India en_US
dc.description.abstract The aim of the present paper is to establish certain new image formulae of family of some extended generalized Gauss hypergeometric functions by applying the operators of fractional derivative involving 2F1(.) due to Saigo. Furthermore, by employing some integral transforms on the resulting formulas, we obtained some more image formulas and also develop a new and further generalized form of the fractional kinetic equation involving the family of some extended generalized Gauss hypergeometric functions and the manifold generality of the family of functions is discussed in terms of the solution of the fractional kinetic equation. The results obtained here are quite general in nature. � 2020 American Institute of Mathematical Sciences. All rights reserved. en_US
dc.publisher American Institute of Mathematical Sciences en_US
dc.subject Fractional calculus en_US
dc.subject Fractional derivative en_US
dc.subject Fractional integration en_US
dc.subject Gauss hypergeometric en_US
dc.subject Laplace transform en_US
dc.subject Pochhemmer symbol en_US
dc.title Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions en_US
dc.type Article en_US


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