Sunil Joshi - Academia.edu (original) (raw)

Papers by Sunil Joshi

This article deals with certain identities and reduction formulae for generalized Hfunctions, whi... more This article deals with certain identities and reduction formulae for generalized Hfunctions, which are of great interest and generalize many known and unknown interested results in literature especially the results given by Shewta and Srivastava[7] and cook [ 2 ]. I. NOTATIONS AND RESULT USED   ; 1 k a j j p        Abbreviations the array of P Parameters     ; ,........., ; 1 1 k k a a p p                 ; , 1 a A j j j p  Stands the array of P Parameters     ; , ,.......... , ; , 1 1 1 1 a A a A p p p     ; 1 a j j p  Abbreviations the array of P Parameters     ; ,........., ; 1 1 a p p   ,   n a Stands for the product of n factors        0 1 2 .............. 1 ; 1 a a a a n a      Erdelyi [3, P.210(12) ]               a 1, , 1 1 1 2 1 , , , 1 .... 2.2.1 , , , 1 1 1 1 1 1. a a a a j j j p m n m n m n p p p a a x x x p q p q p q p b b b j j j q q q for n p                           ...

The aim of the present investigation is to establish the composition formulas for the pathway fra... more The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

Advances in the Theory of Nonlinear Analysis and its Application

In this paper, we investigate the fractional derivatives and expansion formulae of incomplete H a... more In this paper, we investigate the fractional derivatives and expansion formulae of incomplete H and Hfunctions for one variable. Further, we also obtain results for repeated fractional order derivatives and some special cases are also discussed. Various other analogues results are also established. The results obtained here are very much helpful for the further research and useful in the study of applied problems of sciences, engineering and technology.

The Journal of the Indian Mathematical Society

The present investigation aims to extract a solution from the generalized fractional kinetic equa... more The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.

Discrete & Continuous Dynamical Systems - S

In this paper, we introduce the k-generalised fractional derivatives with three parameters which ... more In this paper, we introduce the k-generalised fractional derivatives with three parameters which reduced to k-fractional Hilfer derivatives and k-Riemann-Liouville fractional derivative as an interesting special cases. Further, we have also introduced some presumably new fascinating results which include the image power function, Laplace transform and composition of k-Riemann-Liouville fractional integral with generalized composite fractional derivative. The technique developed in this paper can be used in other situation as well.

Boletim da Sociedade Paranaense de Matemática

The Object of the present paper is to establish some interested theorems on Euler type integral i... more The Object of the present paper is to establish some interested theorems on Euler type integral involving extended Mittag-Leffler function. Further, we reduce some special cases involving various known functions like Wiman function, Prabhakar function, exponential and Binomial functions.

This article deals with certain identities and reduction formulae for generalized Hfunctions, whi... more This article deals with certain identities and reduction formulae for generalized Hfunctions, which are of great interest and generalize many known and unknown interested results in literature especially the results given by Shewta and Srivastava[7] and cook [ 2 ]. I. NOTATIONS AND RESULT USED   ; 1 k a j j p        Abbreviations the array of P Parameters     ; ,........., ; 1 1 k k a a p p                 ; , 1 a A j j j p  Stands the array of P Parameters     ; , ,.......... , ; , 1 1 1 1 a A a A p p p     ; 1 a j j p  Abbreviations the array of P Parameters     ; ,........., ; 1 1 a p p   ,   n a Stands for the product of n factors        0 1 2 .............. 1 ; 1 a a a a n a      Erdelyi [3, P.210(12) ]               a 1, , 1 1 1 2 1 , , , 1 .... 2.2.1 , , , 1 1 1 1 1 1. a a a a j j j p m n m n m n p p p a a x x x p q p q p q p b b b j j j q q q for n p                           ...

The aim of the present investigation is to establish the composition formulas for the pathway fra... more The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

Advances in the Theory of Nonlinear Analysis and its Application

In this paper, we investigate the fractional derivatives and expansion formulae of incomplete H a... more In this paper, we investigate the fractional derivatives and expansion formulae of incomplete H and Hfunctions for one variable. Further, we also obtain results for repeated fractional order derivatives and some special cases are also discussed. Various other analogues results are also established. The results obtained here are very much helpful for the further research and useful in the study of applied problems of sciences, engineering and technology.

The Journal of the Indian Mathematical Society

The present investigation aims to extract a solution from the generalized fractional kinetic equa... more The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.

Discrete & Continuous Dynamical Systems - S

In this paper, we introduce the k-generalised fractional derivatives with three parameters which ... more In this paper, we introduce the k-generalised fractional derivatives with three parameters which reduced to k-fractional Hilfer derivatives and k-Riemann-Liouville fractional derivative as an interesting special cases. Further, we have also introduced some presumably new fascinating results which include the image power function, Laplace transform and composition of k-Riemann-Liouville fractional integral with generalized composite fractional derivative. The technique developed in this paper can be used in other situation as well.

Boletim da Sociedade Paranaense de Matemática

The Object of the present paper is to establish some interested theorems on Euler type integral i... more The Object of the present paper is to establish some interested theorems on Euler type integral involving extended Mittag-Leffler function. Further, we reduce some special cases involving various known functions like Wiman function, Prabhakar function, exponential and Binomial functions.