A New Extended Riemann-Liouville Fractional Operator


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Authors

  • Pablo I. Pucheta Department of Mathematics, Secondary Institute Dr. Luis F. Leloir, (3400) Corrientes, Argentina

Keywords:

Extended beta function, Hypergeometric function, Fractional Calculus, Laplace and Mellin transform

Abstract

In this paper we will introduce a new and modified Riemann-Liouville fractional operator that resulted from modifying the extended fractional derivative due to M. Ozarslan [5]. We will study some familiar functions regarding this new operator, the transform Laplace and Mellin are calculate of the potential function and we will also define a new hypergeometric function in term of extended beta function due to Pucheta [11].

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Published

01-12-2017

How to Cite

Pablo I. Pucheta. (2017). A New Extended Riemann-Liouville Fractional Operator. International Journal of Mathematics And Its Applications, 5(4 - D), 491–498. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1297

Issue

Vol. 5 No. 4 - D (2017)

Section

Research Article

License

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