一类非线性微分问题的可解性和ULAM稳定性，涉及p-拉普拉斯算子和p- caputo序列导数

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES

Journal of Science and Arts Pub Date : 2023-06-30 DOI:10.46939/j.sci.arts-23.2-a06

M. Beddani, H. Fettouch, Hamid Beddani

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引用次数: 0

摘要

本文研究一类具有p-拉普拉斯算子的非线性分数阶微分方程，该方程涉及一些顺序Caputo导数。建立了解的存在唯一性的新准则。讨论了Ulam Hyers意义下的稳定性分析。给出了一个说明性实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SOLVABILITY AND ULAM STABILITY FOR A NONLINEAR DIFFERENTIAL PROBLEM INVOLVING p-LAPLACIAN OPERATOR AND PHI-CAPUTO SEQUENTIAL DERIVATIVES

This paper deals with a general class of nonlinear fractional differential equations with p-Laplacian operator that involves some sequential Caputo derivatives. New criteria on the existence and uniqueness of solutions are established. The stability analysis in the sense of Ulam Hyers is discussed. An illustrative example is presented.

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来源期刊

Journal of Science and Arts MULTIDISCIPLINARY SCIENCES-

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25.00%

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