Work

Novel Approaches to Positive Solutions for Fractional Nonlinear Boundary Value Problems

Year: 2025

Type: article

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.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6220256355

Authors: M. Sharmila, S. Indrakala

Institution: Kunthavai Naacchiyaar Government Arts College for Women (Autonomous)

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409099354

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