涉及混合Riemann-Liouville和Caputo分数阶导数的Riemann-Stieltjes积分边值问题

IF 1.1 Q1 MATHEMATICS Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.11

B. Ahmad, Y. Alruwaily, A. Alsaedi, S. Ntouyas

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引用次数: 6

摘要

本文给出了具有非共轭Riemann-Stieltjes积分多点边界条件的含有Riemann-Liouville和Caputo导数的分数阶积分微分方程解的存在唯一性。我们的结果是应用现代功能分析方法得到的。为了说明我们的结果，我们构造了一些例子。

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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Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives

In this paper, we present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions. Our results are obtained by applying the modern methods of functional analysis. Examples are constructed for the illustration of our results.

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来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.