有限时滞摄动双曲分数阶微分包含的Darboux问题

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-05-12 DOI:10.1016/j.nonrwa.2025.104387

Mohamed Helal , Seenith Sivasundaram

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引用次数: 0

摘要

一般来说，有限时滞的摄动双曲分数阶微分包含在解的存在性、唯一性和稳定性方面提出了重大的数学挑战。本文结合混合广义Lipschitz和Caratheodory条件，利用hage关于收缩多值映射和完全连续映射的不动点定理，研究了具有有限时滞的摄动双曲分数阶微分包含解的存在性。

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Darboux problem for perturbed hyperbolic fractional order differential inclusions with finite delay

In general, perturbed hyperbolic fractional-order differential inclusions with finite delay present significant mathematical challenges in terms of existence, uniqueness, and stability of solutions. The existence of solutions for perturbed hyperbolic fractional order differential inclusions with finite delay is examined in this paper using the fixed-point theorem of Dhage for the sum of a contraction multivalued map and a completely continuous map in conjunction with the mixed generalized Lipschitz and Caratheodory’s conditions.

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.