Application of Fractional Calculus Operators to Fredholm type Integral Equations

The purpose of this article is to study of fractional calculus operators of Riemann-Liouville and Weyl in solving the Fredholm type integral equations. The kernels of these equations are the product of incomplete -functions and generalized polynomials. Further, the Mellin transform technique is also used to find the solution of the Fredholm integral equations. A number of intriguing special cases have also been mentioned.

Authors

Publication Details

Journal
Communications on Applied Nonlinear Analysis
Published
2024-08-23
DOI
https://doi.org/10.52783/cana.v31.1401
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

Application of Fractional Calculus Operators to Fredholm type Integral Equations

Neeti Ghiya
Communications on Applied Nonlinear Analysis
Fractional Differential Equations Solutions
article

Application of Fractional Calculus Operators to Fredholm type Integral Equations

Neeti Ghiya
article en

Abstract

The purpose of this article is to study of fractional calculus operators of Riemann-Liouville and Weyl in solving the Fredholm type integral equations. The kernels of these equations are the product of incomplete -functions and generalized polynomials. Further, the Mellin transform technique is also used to find the solution of the Fredholm integral equations. A number of intriguing special cases have also been mentioned.

Communications on Applied Nonlinear AnalysisVol. 31(7s)
Openalex Percentile: Top 83%
Fractional Differential Equations Solutions
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Application of Fractional Calculus Operators to Fredholm type Integral Equations — Neeti Ghiya · Communications on Applied Nonlinear Analysis (2024) | TGRS Research Map | TGRS