Work

EXISTENCE AND HYERS-ULAM STABILITY FOR BOUNDARY VALUE PROBLEMS OF TWO-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH $ \kappa $-CAPUTO DERIVATIVE

Year: 2025

Type: article

Abstract: This paper is concerned with a class of nonlinear fractional differential equations with two-term $ \kappa $-Caputo fractional derivatives. The existence and uniqueness results are obtained for boundary value problems by using the Banach fixed point theorem and Leray-Schauder nonlinear alternative. The Hyers-Ulam stability is also considered. Some examples are discussed to illustrate the obtained results.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240526

Authors: Xiaoping Xu, Ziang Shen, Shangzhi Liu, Qixiang Dong

Institutions: Nantong Vocational University, Yangzhou University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Awards: G1191049793, G6740207049