Locally Attractivity Solutions for Nonlinear Functional Quadratic Integral Equations of Fractional Order

Pravin M. More *

Department of Mathematics, B.S.S.ASC College, Makni, India.

A. N. Patil

Department of Mathematics, K.M.J. Mahavidyalaya, Washi, India.

P. S. Amurtrao

Department of Mathematics, B.S.S ASC. College, Naldurg, India.

*Author to whom correspondence should be addressed.


Abstract

We prove using hybrid fixed point theorem in Banach algebra an existence of solutions to fractional order quadratic functional integral equation in  Also locally attractivity solutions for fractional order of nonlinear functional quadratic functional integral equations is proved by using Dhage’s Hybrid fixed point theorem.

Keywords: Fixed point theorem, Banach Algebra, quadratic functional integral equation, existence result, locally attractive solutions


How to Cite

More , Pravin M., A. N. Patil, and P. S. Amurtrao. 2025. “Locally Attractivity Solutions for Nonlinear Functional Quadratic Integral Equations of Fractional Order”. Journal of Advances in Mathematics and Computer Science 40 (2):82-94. https://doi.org/10.9734/jamcs/2025/v40i21971.

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