Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions

Barbara Lupińska

doi:10.2478/tmmp-2023-0013

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Nonlinear Katugampola Fractional Differential Equation with Mixed Boundary Conditions

Tatra Mountains Mathematical Publications

Volume 84 (2023): Issue 2 (June 2023)

By: Barbara Lupińska

Open Access

|Jun 2023

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.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2023-0013 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 25 - 34

Submitted on: Nov 17, 2022

Published on: Jun 28, 2023

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

nonlinear fractional differential equations,

fixed-point theorem,

Katugampola fractional derivative,

mixed boundary value problem,

Related subjects:

© 2023 Barbara Lupińska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 84 (2023): Issue 2 (June 2023)