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.

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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
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article

Solution of fractional linear decay equations involving incomplete I -function and modified degenerate laplace type integral approach

Sunıl Dutt Purohıt, Amit Sharma, Nishant, Payal Singhal
International Journal of Mathematics for Industry
Fractional Differential Equations Solutions
article

Solution of fractional linear decay equations involving incomplete I -function and modified degenerate laplace type integral approach

Sunıl Dutt Purohıt, Amit Sharma, Nishant, Payal Singhal
article en

Abstract

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.

International Journal of Mathematics for IndustryVol. 17(01)
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)
Openalex Percentile: Top 95%
Fractional Differential Equations Solutions
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