### AIMS Mathematics

2022, Issue 9: 16440-16448. doi: 10.3934/math.2022899
Research article Special Issues

# Existence and stability of solution for multi-order nonlinear fractional differential equations

• Received: 13 April 2022 Revised: 20 June 2022 Accepted: 27 June 2022 Published: 07 July 2022
• MSC : 26A33, 34A08, 34K20, 45D05

• In this paper, relying on the Banach contraction mapping principle to discuss the existence of solution for a multi-order nonlinear fractional differential equations on the infinite interval $[0, +\infty)$. Moreover the stability of Ulam-Hyers-Rassias and Ulam-Hyers to the initial value problem are obtained. An example that can illustrate the conclusions of this paper have been given at the end.

Citation: Leping Xie, Jueliang Zhou, Haiyun Deng, Yubo He. Existence and stability of solution for multi-order nonlinear fractional differential equations[J]. AIMS Mathematics, 2022, 7(9): 16440-16448. doi: 10.3934/math.2022899

### Related Papers:

• In this paper, relying on the Banach contraction mapping principle to discuss the existence of solution for a multi-order nonlinear fractional differential equations on the infinite interval $[0, +\infty)$. Moreover the stability of Ulam-Hyers-Rassias and Ulam-Hyers to the initial value problem are obtained. An example that can illustrate the conclusions of this paper have been given at the end.

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