TARU PUBLICATIONS
Author

Sonia Sharma

Department of Mathematics Chandigarh University Gharuan, Mohali, Punjab, 140413, India

Published papers
5
Citations
1
Views
615
Downloads
27

Publications

5 papers
Open Access Research Article·pp. 1001–1007·Vol. 29, Issue 4Apr 2026

Solving porous medium equation using SEE transform homotopy perturbation method

Sonia Sharma, Harish Nagar

Published Online: 21 Mar 2026DOI: 10.47974/JIM-2471

In this paper: This work innovatively solves the porous medium equation for the first time by using what is now called the “SEE transform.” This newly devised integral transform is employed in tandem with the homoto...

AbstractReferencesFull Text PDF (309 KB)Views: 104Downloads: 9Citations: 0
Open Access Research Article·pp. 1695–1701·Vol. 28, Issue 4Jun 2025

Complex Sadik integral transform of Bessel’s function of first kind

Sonia Sharma, Harish Nagar

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2267

In this paper: The Laplace equation, the heat equation, the wave equation, and the Helmholtz equation in cylindrical or spherical coordinates are just a few of the numerous equations that may be solved using Bessel’...

AbstractReferencesFull Text PDF (456 KB)Views: 157Downloads: 5Citations: 0
Open Access Research Article·pp. 1749–1755·Vol. 27, Issue 8Dec 2024

MSM fractional calculus operator pertaining to generalized modified Bessel function of the second type

Sanchit Kapila, Harish Nagar, Sonia Sharma

Published Online: 16 Dec 2024DOI: 10.47974/JIM-2037

In this paper: The objective of this paper is to introduce a broader scope of fractional integration and differentiation by incorporating the Modified Bessel function with the MSM operator, which encompasses five pa...

AbstractReferencesFull Text PDF (571 KB)Views: 125Downloads: 5Citations: 0
Open Access Research Article·pp. 1805–1810·Vol. 27, Issue 8Dec 2024

The generalized Mittag-Leffler type function PkRqα,β;γ (z)  associated with various new integral transforms

Sonia Sharma, Harish Nagar

Published Online: 16 Dec 2024DOI: 10.47974/JIM-2044

In this paper: This paper presents some new results with the applications of certain new integral transforms on the “generalized Mittag-Leffler type function”. The generalized function PkRqα,β;γ (z)  introduced by K...

AbstractReferencesFull Text PDF (402 KB)Views: 118Downloads: 4Citations: 0
Open Access Research Article·pp. 1853–1860·Vol. 27, Issue 8Dec 2024

The Marichev-Saigo-Maeda fractional calculus operator pertaining to the generalized multivariate Mittag-Leffler function

Pranjali Gautam, Harish Nagar, Sonia Sharma

Published Online: 16 Dec 2024DOI: 10.47974/JIM-2050

In this paper: The objective of this paper is to explore and establish certain generalized fractional differentiation and integration involving multivariate generalized Mittag-Leffler function introduced by Salim an...

AbstractReferencesFull Text PDF (504 KB)Views: 111Downloads: 4Citations: 1