Positive solutions to fractional integro-differential boundary value problems at resonance

Authors

  • M. Latha Maheswari Department of Mathematics, \\PSG College of Arts and Science,Coimbatore-641 014, Tamil Nadu, India
  • K. Pandiyan Department of Science and Humanities, \\Sri Krishna College of Engineering and Technology, Coimbatore-641 008, Tamil Nadu , India
  • Seenith Sivasundaram Department of Mathematics, College of Science Engineering and Mathematics, Florida 32114, United States

Abstract

This paper investigates the characteristics of a class of fractional integrodifferential multipoint boundary value problems at resonance have positive solutions. The existence of positive solution is necessitated by the spectral theory of linear operator. For the case where the nonlinearity has a fixed sign, necessary and sufficient conditions for the existence of positive solutions are stated as an application. Examples are presented to demonstrate our findings. 

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Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 M. Latha Maheswari, K. Pandiyan , Seenith Sivasundaram

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Positive solutions to fractional integro-differential boundary value problems at resonance. (2025). Nonlinear Studies, 32(2), 435-443. https://nonlinearstudies.com/index.php/nonlinear/article/view/3914