An analysis on the existence of nonlocal Hilfer fractional neutral differential equations with infinite delay via almost sectorial operators



	An analysis on the existence of nonlocal Hilfer fractional neutral differential equations with infinite delay via almost sectorial operators


	Fixed Point Theory, Volume 27, No. 2, 2026, 505-528, June 1st, 2026 DOI: 10.24193/fpt-ro.2026.2.03 Authors: C.S. Varun Bose, R. Udhayakumar, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar Abstract: We devote this paper to investigate the existence of a solution for a Hilfer fractional differential systems with nonlocal conditions and infinite delay via almost sectorial operators. Firstly, we show the existence of the system using the measure of noncompactness and the Darbo-Sadovskii fixed point theorem. Finally, we extend the results to the existence of a neutral system. An example is provided to demonstrate how the major results might be applied. Key Words and Phrases: Hilfer fractional evolution system, measure of noncompactness, neutral system, nonlocal condition, fixed point theorem, almost sectorial operators. 2020 Mathematics Subject Classification: 34K30, 34K40, 47H08, 47H10. Published on-line: June 1st, 2026. Fulltext pdf Back to volume's table of contents