Yazar "Agarwal, Praveen" için listeleme
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A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators
Cetinkaya, Aysegul; Kiymaz, I. Onur; Agarwal, Praveen; Agarwal, Ravi (SPRINGER INTERNATIONAL PUBLISHING AG, 2018)In this paper, we present further generalizations of the beta function; Riemann-Liouville, Caputo and Kober-Erdelyi fractional operators by using confluent hypergeometric function with six parameters. We also define new ... -
An extension of Caputo fractional derivative operator and its applications
Kiymaz, I. Onur; Cetinkaya, Aysegul; Agarwal, Praveen (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)In this paper, an extension of Caputo fractional derivative operator is introduced, and the extended fractional derivatives of some elementary functions are calculated. At the same time, extensions of some hypergeometric ... -
On developing an optimal Jarratt-like class for solving nonlinear equations
Attary, Maryam; Agarwal, Praveen (Forum-Editrice Universitaria Udinese SRL, 2020)It is attempted to derive an optimal class of methods without memory from Ozban’s method [A. Y. Ozban, Some New Variants of Newton’s Method, Appl. Math. Lett. 17 (2004) 677-682]. To this end, we try to introduce a weight ... -
Some Composition Formulae for the M-S-M Fractional Integral Operator with the Multi-index Mittag-Leffler Functions
Jain, Shilpi; Agarwal, Praveen; Kiymaz, I. Onur; Cetinkaya, Aysegul (AMER INST PHYSICS, 2018)Authors presented some composition formulae for the Marichev-Saigo-Maeda (M-S-M) fractional integral operator with the multi-index Mittag-Leffler functions. Our results are generalizes the results obtained by Choi and ... -
A STUDY ON THE k-GENERALIZATIONS OF SOME KNOWN FUNCTIONS AND FRACTIONAL OPERATORS
Kiymaz, I. Onur; Cetinkaya, Aysegul; Agarwal, Praveen (UNIV PRISHTINES, 2017)In this paper, we first draw attention to the relationships between the original definitions and their k-generalizations of some known functions and fractional operators. Using these relationships, we not only easily ...