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K. S. Nisar

Publications and source records attributed to K. S. Nisar.

33 records · Page 2Linked to original sources
arXiv2017

Extension of Mittag-Leffler function

In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions (Özergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function. Also, we present the Mellin transform of this function in terms of Wright hypergeometric function. Furthermore, we show that the extended fractional derivative of the usual Mittag-Leffler function gives the extension of Mittag-Leffler function.

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arXiv2017

On fractional kinetic equations and their Sumudu transform multiparameter Struve functions based solutions

This research paper treats fractional kinetic equations using the Sumudu transform operator. The exact solutions obtained are presented in terms of Struve functions of four parameters. By way of obtaining solutions some novel and useful and novel kinetic theorems are presented in light of the Sumudu properties. Results obtained in this study may be pragmatically used in many branches theoretical and experimental science applications, not the least of which are mathematical physics, and various engineering fields.

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arXiv2016

Some integrals involving generalized k-Struve functions

The close form of some integrals involving recently developed generalized k-Struve functions is obtained. The outcome of these integrations is expressed in terms of generalized Wright functions. Several special cases are deduced which lead to some known results.

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arXiv2016

Generalized Fractional Kinetic Equations Involving the generalized modified $k$-Bessel function

Fractional kinetic equations are investigated in order to describe the various phenomena governed by anomalous reaction in dynamical systems with chaotic motion. Many authors have provided solutions for various families of fractional kinetic equations involving special functions. Here, in this paper, we aim at presenting solutions of certain general families of fractional kinetic equations associated with the generalized modified $k$-Bessel function of the first kind. It is also pointed out that the main results presented here are general enough to be able to be specialized to yield many known and (presumably) new solutions for fractional kinetic equations.

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arXiv2016

Generalized fractional integration of k\-Bessel function

In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with k Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for Riemann Liouville and Erdelyi Kober fractional integral transforms.

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arXiv2016

Marichev-Saigo-Maeda fractional operator representations of generalized Struve function

The aim of this paper is to apply generalized operators of fractional integration and differentiation involving Appells function due to Marichev-Saigo-Maeda, to the generalized Struve function. The results are expressed in terms of generalized Wright function. The results obtained here are general in nature and can easily obtain various known results.

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arXiv2016

Some unified integrals associated with generalized struve function

This paper is devoted for the study of a new generalization of Struve function type. In this paper , We establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright) hypergeometric functions. The result established here are general in nature and are likely to find useful in applied problem of Sciences, engineering and technology.

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arXiv2016

Integral transform of the Galue type Struve function

This paper refers to the study of generalized Struve type function. Using generalized Galue type Struve function (GTSF) by Nisar et al. [13], we derive various integral transform, including Euler transform, Laplace transform, Whittakar transform, K-transform and Fractional Fourier transform. The results are expressed in terms of generalized Wright function. The transform established here are general in nature and are likely to find useful in applied problem of Sciences, engineering and technology. Certain interesting special cases of the main results are also considered.

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arXiv2016

Some Unified Integrals Associated with Generalized Bessel-Maitland Function

Generalized integral formulas involving the generalized Bessel-Maitland function are considered and it expressed in terms of generalized Wright hypergeometric functions. By assuming appropriate values of the parameters in the main results, we obtained some interesting results of ordinary Bessel function.

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arXiv2013

Marichev-Saigo-Maeda fractional integration operators of generalized Bessel functions

Two integral operator involving the Appell's functions, or Horn's function in the kernel are considered. Composition of such functions with generalized Bessel functions of the first kind are expressed in term of generalized Wright function and generalized hypergeometric series. Many special cases, including cosine and sine function are also discussed.

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