Solution of fractional linear decay equations involving incomplete <i>I</i> -function and modified degenerate laplace type integral approach
In this work, we present solutions of fractional linear decay equations involving the incomplete I-function product with a general class of polynomials as an application of the modified degenerate Laplace integral transform (DLIT). The outcomes for the traditional Laplace transform are retrieved from our results as particular cases. Furthermore, exceptional cases of our results are discussed and graphically illustrated using MATLAB software. This work provides a thorough overview for further investigation into these topics in order to gain a better understanding of their applications.
Authors
- Sunıl Dutt Purohıt (ORCID: https://orcid.org/0000-0002-1098-5961)
- Amit Sharma (ORCID: https://orcid.org/0000-0002-9589-2245)
- Nishant
- Payal Singhal
Institutions
- Rajasthan Technical University (IN)
- Institute of Chartered Financial Analysts of India University, Jaipur (IN)
- Lebanese American University (LB)
- Manipal University Jaipur
- Malaviya National Institute of Technology Jaipur (IN)
Publication Details
- Journal
- International Journal of Mathematics for Industry
- Published
- 2025-03-04
- DOI
- https://doi.org/10.1142/s266133522450031x
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00