<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value using Banach and Schaefer fixed-point theorems. The examples illustrating the main results are given.</p>
</abstract>

This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary value using Banach and Schaefer fixed-point theorems. The examples illustrating the main results are given.

Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions

Insitute of Computer Science of University of Białystok

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper discusses the existence and uniqueness of solutions for a class of nonlinear fractional differential equations with a mixed fractional boundary...

Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions

Published Online: Jun 28, 2023

Page range: 25 - 34

Received: Nov 17, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0013

Keywords
nonlinear fractional differential equations, fixed-point theorem, Katugampola fractional derivative, mixed boundary value problem, existence, uniqueness

© 2023 Barbara Lupińska, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions

Published Online: Jun 28, 2023

Page range: 25 - 34

Received: Nov 17, 2022

DOI: https://doi.org/10.2478/tmmp-2023-0013

Keywordsnonlinear fractional differential equations, fixed-point theorem, Katugampola fractional derivative, mixed boundary value problem, existence, uniqueness

© 2023 Barbara Lupińska, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
nonlinear fractional differential equations, fixed-point theorem, Katugampola fractional derivative, mixed boundary value problem, existence, uniqueness