QUALITATIVE ANALYSIS OF HILFER VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
Abstract
The fractional Hilfer Volterra-Fredholm integro-differential equation (FHV-FIDE) with nonlocal circumstances is investigated in this work. It uses Banach’s fixed-point theorem (FPT) to demonstrate the existence and uniqueness of mild solutions. Additionally, it illustrates a noteworthy finding on the presence of a minimum of one solution, supported by criteria derived from the Krasnoselskii FPT. Ulam stability of the FHV-FIDE is also investigated by using the Gronwall inequality. An example is shown to demonstrate the robustness and practical usefulness of the findings.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fuzzy Systems and Optimization
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Far East Journal of Mathematical Sciences (FJMS)
- Volume
- 143
- Issue
- 3
- Pages
- 679–712
- Publication date
- 12 January 2026