Applications of I-function in solving fractional differential equations and boundary value problems

An extension of the famous H-function by Fox, the I-function, which in turn extends to the incomplete I-functions. Solving the one-dimensional heat flow problem using incomplete I-functions is the focus of this work. Additionally, we derive a large number of special situations from our primary conclusions. The Struve's function with its enlarged integral with the I-function in two variables is a generic class of polynomials. This study also addressed a boundary value problem concerning the steady-state temperature distribution of a rectangular plate by using the I-function, Struve's function, and the Extended General Class of Polynomials.

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Publication Details

Journal
Journal of Advances in Science and Technology
Published
2025-04-01
DOI
https://doi.org/10.29070/1vqs2p44
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Applications of I-function in solving fractional differential equations and boundary value problems

Vinod Kumar Prajapati
Journal of Advances in Science and Technology
Differential Equations and Boundary Problems
article

Applications of I-function in solving fractional differential equations and boundary value problems

Vinod Kumar Prajapati
article en

Abstract

An extension of the famous H-function by Fox, the I-function, which in turn extends to the incomplete I-functions. Solving the one-dimensional heat flow problem using incomplete I-functions is the focus of this work. Additionally, we derive a large number of special situations from our primary conclusions. The Struve's function with its enlarged integral with the I-function in two variables is a generic class of polynomials. This study also addressed a boundary value problem concerning the steady-state temperature distribution of a rectangular plate by using the I-function, Struve's function, and the Extended General Class of Polynomials.

Journal of Advances in Science and TechnologyVol. 22(2)
Gandhi Medical College (IN)
Openalex Percentile: Top 73%
Differential Equations and Boundary Problems
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