Work

Impulsive implicit fractional q -integrodifferential equations under Riemann–Liouville boundary conditions with stability results

Year: 2025

Type: article

Abstract: We aim to analyze a novel class of impulsive implicit q-integrodifferential equations of fractional order involving a certain kind of boundary value problem with mixed Riemann–Liouville fractional q-integral boundary conditions. Base on the theorems of nonlinear analysis, we investigate the existence and uniqueness results for the given q-fractional equations. In addition to, the stabilities of Ulam–Hyers and Ulam–Hyers–Rassias are examined. Finally, some illustrative examples guarantee our outcomes.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101172

Authors: Azam Fathipour, Mohammad Esmael Samei

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

OpenAlex ID: W4409716517

FWCI: 1.87

Cites: 41

Cited by: 1

Related to: 10