Work

Existence of solutions for a system of Hilfer–Hadamard fractional sequential boundary value problems

Year: 2026

Type: article

Abstract: This study establishes sufficient conditions for existence of positive solutions of three-variable functions with Hadamard fractional integrals and sequential integral boundary conditions governed by the nonlinear Hilfer–Hadamard fractional derivative. We apply the Leray-Schauder nonlinear alternative fixed-point theorem to obtain these results. The novelty of this study lies in the investigation of a new nonlinear Hilfer–Hadamard system for three-variable Hadamard fractional integrals employing sequential integral boundary conditions which sets our work apart from existing studies.

Source: Boundary Value Problems

DOI: 10.1186/s13661-026-02322-9

Authors: Hasan Rasouli, Ravi P. Agarwal, Silvestru Sever Dragomir

Institutions: Amirkabir University of Technology, Florida Institute of Technology, Victoria University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

OpenAlex ID: W7166593046

FWCI: 11.98

Cites: 38

Cited by: 1

Related to: