Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems

Authors

  • M. Sharmila Department of Mathematics, Kunthavai Naacchiyaar Government Arts College for Women (Autonomous), (“Affiliated to Bharathidasan University” Tiruchirappalli, 620024), Thanjavur, 613007, Tamil Nadu, India https://orcid.org/0009-0000-4498-5401 (unauthenticated)
  • S. Indrakala Department of Mathematics, Kunthavai Naacchiyaar Government Arts College for Women (Autonomous), (“Affiliated to Bharathidasan University” Tiruchirappalli, 620024), Thanjavur, 613007, Tamil Nadu, India

DOI:

https://doi.org/10.37256/cm.6220256355

Keywords:

existence and uniqueness, fractional calculus, nonlinear, boundary value problem, operator

Abstract

This study explores a fractional boundary value problem based on Riemann-Liouville derivatives and integrals. New results are derived to begin the necessary and adequate circumstances for the existence and uniqueness of positive solutions, leveraging fixed-point theorems on right circular cones. A convergent iterative sequence for solving the problem is presented, along with a numerical scheme. The validity of the results is demonstrated through illustrative examples.

References

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Published

2025-04-03

Issue

Contemporary Mathematics, Volume 6 Issue 2 (2025), 1380-2725

Section

Research Article

License

Copyright (c) 2025 M. Sharmila, et al.

Creative Commons License

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

How to Cite

1.
Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems. Contemp. Math. [Internet]. 2025 Apr. 3 [cited 2025 Dec. 24];6(2):2254-65. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6355