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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…

Classical Analysis and ODEs · Mathematics 2016-07-19 D. L. Suthar , S. D. Purohit , K. S. Nisar

Our purpose in this present paper is to investigate generalized integration formulas containing the generalized $k$-Bessel function $W_{v,c}^{k}(z)$ to obtain the results in representation of Wright-type function. Also, we establish certain…

Classical Analysis and ODEs · Mathematics 2016-12-26 G. Rahman , K. S. Nisar , S. Mubeen , M. Arshad

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)…

Classical Analysis and ODEs · Mathematics 2016-08-11 D. L. Suthar , S. D. Purohit , K. S. Nisar

A new generalization called $\mathtt{k}$-Struve function and its properties given by Nisar and saiful very recently. In this paper, we establish the pathway fractional integral representation of $\mathtt{k}$-Struve function. Many special…

Classical Analysis and ODEs · Mathematics 2016-11-29 Kottakkaran S Nisar , Saiful R Mondal

In this paper, we discuss the generalized integral formula involving Bessel-Struve kernel function $S_{\alpha }\left( \lambda z\right) $, which expressed in terms of generalized Wright functions. Many interesting special cases also obtained…

Classical Analysis and ODEs · Mathematics 2016-02-05 K. S. Nisar , P. Agarwal , S. Jain

We aim to present two new generalized integral formulae involving product of generalized Struve function $\mathcal{W}_{p,b,c}\left( z\right)$, which are expressed in terms of the generalized Lauricella functions. The main results presented…

Classical Analysis and ODEs · Mathematics 2017-02-08 Kottakkaran Sooppy Nisar

In this paper we find the partial sums of two kinds normalized Wright functions and the partial sums of Alexander transform of these normalized Wright functions.

Complex Variables · Mathematics 2016-06-10 Muhey u Din , Mohsan Raza , Nihat Yagmur

Generalized integral formulas involving the generalized modified k-Bessel function $J_{k,\nu }^{c,\gamma ,\lambda }\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions. Some interesting special cases of…

Classical Analysis and ODEs · Mathematics 2016-01-26 K. S. Nisar , S. R. Mondal

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…

Classical Analysis and ODEs · Mathematics 2016-10-04 K. S. Nisar

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,…

Classical Analysis and ODEs · Mathematics 2016-05-31 M. S. Abouzaid , A. H. Abusufian , K. S. Nisar

We aim to introduce a $\mathtt{k}$-Struve function and investigate its various properties, including mainly certain inequalities associated this function. One of the inequalities given here is pointed out to be related to the so-called…

Classical Analysis and ODEs · Mathematics 2016-11-29 Kottakkaran Sooppy Nisar , Saiful Rahman Mondal , Junesang Choi

The Wright function arises in the theory of the fractional differential equations. It is a very general mathematical object having diverse connections with other special and elementary functions. The Wright function provides a unified…

Numerical Analysis · Mathematics 2023-06-21 Dimiter Prodanov

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.…

Classical Analysis and ODEs · Mathematics 2016-12-13 G. Rahman , K. S. Nisar , S. Mubeen , M. Arshad

In this paper, certain generalized fractional derivative formulae are introduced involving the k-Mittag-Leffler function. Then their image formulae (using Beta transform, Laplace transform and Whittaker transform) are also established. The…

Functional Analysis · Mathematics 2019-02-08 Mehar Chand , Jatinder Kumar Bansal

This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite…

Classical Analysis and ODEs · Mathematics 2019-01-23 S Jabee , M Shadab , R B Paris

In this article, we presented some properties of the Katugampola fractional integrals and derivatives. Also we studied the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized $k-$Wright…

Analysis of PDEs · Mathematics 2019-09-18 Ahmad Y. A. Salamooni , D. D. Pawar

In this note we prove some new results about the application of Wright functions of the first kind to solve fractional differential equations with variable coefficients. Then, we consider some applications of these results in order to…

Classical Analysis and ODEs · Mathematics 2021-06-14 R. Garra , F. Mainardi

Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant. We also deduce a tight double inequality,…

Classical Analysis and ODEs · Mathematics 2018-07-13 Robert E. Gaunt

Our purpose in this present paper is to investigate generalized integration formulas containing the extended generalized hypergeometric function and obtained results are expressed in terms of extended hypergeometric function. Certain…

Classical Analysis and ODEs · Mathematics 2017-06-08 G. Rahman , A. Ghaffar , K. S. Nisar , S. Mubeen

The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.

General Mathematics · Mathematics 2019-10-28 Tariq A. Aljaaidi , Deepak B. Pachpatte
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