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Sharma, Kishan
- Some Properties of a Generalized Mittag-Leffler Type Function
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1 Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Next to S.G. Motors, Jhansi Road, Gwalior-474 001, IN
1 Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Next to S.G. Motors, Jhansi Road, Gwalior-474 001, IN
Source
The Journal of the Indian Mathematical Society, Vol 82, No 1-2 (2015), Pagination: 155-167Abstract
This paper is concerned to the study of a new generalized function of Mittag-Leffler type. Its various properties including Laplace transform, Beta transform, Mellin transform, Whittaker transform, generalized hypergeometric series form, Mellin-Barnes integral representation and its relationship with Fox's H-function and Wright hypergeometric function are established. Also derived the relations that exist between this function and the operators of Riemann-Liouville fractional integrals and derivatives. These presentations make the reader familiar with the present trend of research in Mittag-Leffler functions and their applications.Keywords
Fractional Calculus, Riemann-Liouville Fractional Integrals and Derivatives, Laplace Transform, Beta Transform, Mellin Transform, Whittaker Transform, Generalized Hypergeometric Series.- A Method for the Solution of Fractional Kinetic Equations
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Authors
Affiliations
1 Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Jhansi Road, Gwalior-474 001, IN
1 Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Jhansi Road, Gwalior-474 001, IN