Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems

M.  Sharmila; S.  Indrakala

doi:10.37256/cm.6220256355

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
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.

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Published

2025-04-03

How to Cite

Sharmila M, Indrakala S. Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems. Contemp. Math. [Internet]. 2025 Apr. 3 [cited 2026 Jun. 4];6(2):2254-65. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6355

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Issue

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

Section

Research Article

License

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