Existence of solutions for a general class of nonlinear fractional integral operators
Abstract
In this study, we aim to investigate the existence results for a general class of fractional nonlinear integral equations with order α ∈ ( 0 , 1 ) in a continuous function space ( C [ a , b ] , ∥ ⋅ ∥ ) . We use the Schauder fixed point theorem as a tool with providing a compact integral operator from a subset of the Banach space ( C [ a , b ] , ∥ ⋅ ∥ ) into itself. Furthermore, we present an example to illustrate and support the work.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Miskolc mathematical notes/Mathematical notes
- Publisher
- Mathematical Notes
- Volume
- 27
- Issue
- 1
- Pages
- 219–219
- Publication date
- 1 January 2026
- Language
- EN