Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems

被引：0
作者：
Sharmila, M. [1 ]
Indrakala, S. [1 ]
机构：
[1] Bharathidasan Univ Tiruchirappalli, Dept Math, Kunthavai Naacchiyaar Govt Arts Coll Women Autonom, Thanjavur 613007, Tamil Nadu, India
来源：
CONTEMPORARY MATHEMATICS | 2025年 / 6卷 / 02期
关键词：
existence and uniqueness; fractional calculus; nonlinear; boundary value problem; operator; DIFFERENTIAL-EQUATIONS; EXISTENCE; UNIQUENESS;
D O I：
10.37256/cm.6220256355
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页数：12
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