具有积分边界条件的非线性两符合分数阶微分方程

Studia Universitatis BabesBolyai Geologia Pub Date : 2023-03-17 DOI:10.24193/subbmath.2023.1.14

Somia Djiab, B. Nouiri

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引用次数: 0

摘要

研究一类具有两个可调分数阶导数和积分边界条件的非线性微分方程的边值问题。利用Banach收缩原理、Guo-Krasnoselskii不动点定理和Hyers-Ulam型稳定性证明了正解的存在性、唯一性和稳定性。给出了两个具体的例子来说明主要结果。

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Nonlinear two conformable fractional differential equation with integral boundary condition

"This paper deals with a boundary value problem for a nonlinear differential equation with two conformable fractional derivatives and integral boundary conditions. The results of existence, uniqueness and stability of positive solutions are proved by using the Banach contraction principle, Guo-Krasnoselskii's fixed point theorem and Hyers-Ulam type stability. Two concrete examples are given to illustrate the main results."

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Studia Universitatis BabesBolyai Geologia

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审稿时长

31 weeks