Further results on the existence of solutions for generalized fractional quadratic functional integral equations

Generalized fractional quadratic functional integral equations

https://doi.org/10.48185/jmam.v1i1.2

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Keywords:

Fractional differential equations,, $\psi $-Caputo fractional derivative,, Existence,, Maximal and minimal solutions,, Fixed point theorem.

Abstract

This paper discusses some existence results for at least one continuous solution for generalized fractional quadratic functional integral equations. Some results on nonlinear functional analysis including Schauder fixed point theorem are applied to establish the existence result for proposed equations. We improve and extend the literature by incorporated some well-known and commonly cited results as special cases in this topic. Further, we prove the existence of maximal and minimal solutions for these equations.

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Published

2020-12-03

How to Cite

Abdo, M. S. (2020). Further results on the existence of solutions for generalized fractional quadratic functional integral equations: Generalized fractional quadratic functional integral equations. Journal of Mathematical Analysis and Modeling, 1(1), 33–46. https://doi.org/10.48185/jmam.v1i1.2

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