具有积分-多条带-多点边界条件的序列Hilfer分数阶微分方程和包含的边值问题

IF 0.9 4区 数学 Q2 MATHEMATICS Fixed Point Theory Pub Date : 2023-02-01 DOI:10.24193/fpt-ro.2023.1.01
Bashir Ahmad, S. Ntouyas, Fawziah M. Alotaibi
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引用次数: 0

摘要

。研究了一类具有hill -fer分数阶导数算子的边值问题的分数阶模型。精确地,考虑了具有积分-多条带-多点边界条件的序列Hilfer分数阶微分方程和夹杂。利用不动点理论建立了问题的存在唯一性结果。在单值情况下,使用了Banach和Krasnosel 'ski × i的经典定理,而在多值情况下,借助于多值映射的Leray-Schauder非线性替代,以及多值收缩的Covitz和Nadler不动点定理来研究多值情况。数值算例很好地说明了所得结果。
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Boundary value problems for sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multipoint boundary conditions
. We study a novel fractional model of boundary value problems in the setting of Hil-fer fractional derivative operators. Precisely, sequential Hilfer fractional differential equations and inclusions with integro-multistrip-multi-point boundary conditions are considered. Existence and uniqueness results are established for the proposed problems by using the techniques of fixed point theory. In the single-valued case, the classical theorems due to Banach and Krasnosel’ski˘i are used, while the multi-valued case is investigated with the aid of Leray-Schauder nonlinear alternative for multi-valued maps, and Covitz and Nadler’s fixed point theorem for multi-valued contractions. The obtained results are well-illustrated by numerical examples.
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来源期刊
Fixed Point Theory
Fixed Point Theory 数学-数学
CiteScore
2.30
自引率
9.10%
发文量
26
审稿时长
6-12 weeks
期刊介绍: Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.
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