Existence of a unique mild solution to a fractional thermostat model via a Rus's fixed point theorem



	Existence of a unique mild solution to a fractional thermostat model via a Rus's fixed point theorem


	Fixed Point Theory, Volume 26, No. 2, 2025, 539-552, May 1st, 2025 DOI: 10.24193/fpt-ro.2025.2.12 Authors: J. Harjani, B. López and K. Sadarangani Abstract: The purpose of this paper is to study the existence of a unique solution of a nonlinear fractional boundary value problem which can be considered as the fractional version of the thermostat model. Our analysis is based on a Rus's fixed point theorem involving two metrics. Key Words and Phrases: Fractional boundary value problem, Green's function, Rus's fixed point theorem. 2010 Mathematics Subject Classification: 34A08, 47H10, 49L20, 47H09, 47H10. Published on-line: May 1st, 2025. Fulltext pdf Back to volume's table of contents