What type of study is this?

This is a Quantitative Study study.

September 18, 2025Open Access

Existence of Solutions for a Class of Nonlinear Boundary Value Problems with Caputo Fractional Derivatives

Key Points

The research establishes the existence of positive solutions for nonlinear boundary value problems.
Utilizing the Guo-Krasnosel'skii fixed point theorem, with superlinear and sublinear conditions observed.
The construction and examination of the Green's function are essential to the theoretical framework.
Illustrative examples demonstrate the practical application and effectiveness of the theoretical results.

Abstract

Our aim in this paper is to explore the existence of nonnegative solutions for a boundary value problem involving nonlinear Caputo fractional differential equations. The analysis begins with the formulation of superlinear and sublinear conditions, under which the Guo-Krasnosel'skii fixed point theorem is applied in a cone to get the existence of positive solutions. To facilitate this, the corresponding Green's function is constructed, and its essential properties are explored. A number of illustrative examples are included to show the applicability of the theoretical results and emphasize their effectiveness.

Read Full Paperexternally

Bookmark

View Full Paper

Cite This Study

Tabti et al. (Mon,) studied this question.

synapsesocial.com/papers/68d461c231b076d99fa60ecd https://doi.org/https://doi.org/10.32323/ujma.1691155

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Bookmark

View Full Paper