Open Access
Research Article·pp. 2049–2065·Vol. 29, Issue 6Jun 2026
Sumit Kumar, Harish Nagar, Sangeeta Kumari
Published Online: 30 Jun 2026DOI: 10.47974/JIM-2583 In this paper: This research investigates how surface waves propagate within a hygro-thermoelastic medium under the influenced by rotation, magnetic field and hydrostatic initial stress. The wave equations, which ar...
Open Access
Research Article·pp. 1001–1007·Vol. 29, Issue 4Apr 2026
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...
Open Access
Research Article·pp. 1695–1701·Vol. 28, Issue 4Jun 2025
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’...
Open Access
Research Article·pp. 1689–1694·Vol. 28, Issue 4Jun 2025
Yukti Mahajan, Harish Nagar
Published Online: 02 Jun 2025DOI: 10.47974/JIM-2230 In this paper: This paper provides a brief overview of the Riemann-Liouville fractional operator (Rl- operator) on S-Function. The key findings illustrate the impact of these operators on the parameters, showing tha...
Open Access
Research Article·pp. i–vi·Vol. 27, Issue 8Dec 2024
Surjeet Singh Chauhan (Gonder), Harish Nagar, Praveen Ailawalia, Naveen Mani, Rajesh Kumar Saini, Rahul Shukla
Published Online: 16 Dec 2024DOI: 10.47974/JIM-27-8-Foreword In this paper: The theme of this special issue is “Neoteric Advancements in Analysis and Applied Mathematics”. Its goal is to look at new developments in fractional calculus, summability theory, fixed point theory,...
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Open Access
Research Article·pp. 1749–1755·Vol. 27, Issue 8Dec 2024
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...
Open Access
Research Article·pp. 1853–1860·Vol. 27, Issue 8Dec 2024
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...
Open Access
Research Article·pp. 1805–1810·Vol. 27, Issue 8Dec 2024
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...
Open Access
Research Article·pp. 1869–1874·Vol. 27, Issue 8Dec 2024
Harish Nagar, Shristi Mishra
Published Online: 16 Dec 2024DOI: 10.47974/JIM-2052 In this paper: This manuscript utilizes the Marichev-Saigo-Maeda (MSM) fractional differential (F.D) and fractional integral (F.I) operators to analyze the composition of two functions i.e., Struve function (S.F) an...
Open Access
Research Article·pp. 1861–1867·Vol. 27, Issue 8Dec 2024
Yukti Mahajan, Harish Nagar
Published Online: 16 Dec 2024DOI: 10.47974/JIM-2051 In this paper: This research focuses on exploring the usage of integral and derivative operator of Saigo’s k-fractional type i.e. (Sk.I.O.) and (Sk.D.O.) that utilize the k-hypergeometric function (k-H.F.). The find...