Sahand Communications in Mathematical Analysis

Erdélyi–Kober Fractional Integral Equations in Applied Sciences: A Fixed Point Perspective

Articles in Press

Document Type : Research Paper

Authors

Dipankar Saha 1
Nimai Sarkar 2
Mausumi Sen 3

1 Department of Mathematics, Maibang Degree College, Maibang 788831, Assam, India.

2 School of Advanced Sciences, VIT-AP University, Amaravati 522241, Andhra Pradesh, India.

3 Department of Mathematics, National Institute of Technology Silchar, Silchar 788010, Assam, India.

https://doi.org/10.22130/scma.2025.2072629.2344
Abstract
This paper explores a solution method for a nonlinear Erdélyi-Kober type fractional integral equation (NLFIE), leveraging fixed point theory, particularly the Darbo fixed point theory. The equation, with deviating arguments and the Erdélyi-Kober operator, offers insights applicable to diverse scientific domains. Notably, by specializing parameters, it aligns with models describing infectious disease propagation. Additionally, it underscores the utility of Erdélyi-Kober fractional integrals in characterizing media with non-integer mass dimensions, with applications spanning porous media to electrochemistry. This analysis advances our understanding of solving complex nonlinear integral equations, offering interdisciplinary insights with practical implications.

Keywords

Erdé
lyi&ndash
Kober operator, Nonlinear integral equations, Fixed point theory, Fractional calculus applications

Subjects

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Sahand Communications in Mathematical Analysis

Articles in Press, Accepted Manuscript
Available Online from 02 February 2026

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