Existence Results and Ulam–Hyers Stability for a Fully Coupled System of Nonlinear Sequential Hilfer Fractional Differential Equations and Integro-Multistrip-Multipoint Boundary Conditions

被引：0
作者：
Ravi P. Agarwal
Afrah Assolami
Ahmed Alsaedi
Bashir Ahmad
机构：
[1] Texas A &M University,Department of Mathematics
[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[3] Umm Al-Qura University,Research Group, Department of Mathematics, Faculty of Science
来源：
Qualitative Theory of Dynamical Systems | 2022年 / 21卷
关键词：
Sequential Hilfer fractional differential equations; Coupled system; Nonlocal integral-multipoint boundary conditions; Incomplete gamma function; Existence; Fixed point; Ulam–Hyers stability; 34A08; 34A34; 34B10; 34B15; 34D20;
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摘要：
In this paper, we investigate the existence of solutions for a new coupled system of sequential Hilfer fractional differential equations equipped with coupled integro-multistrip-multipoint boundary conditions. We make use of the incomplete gamma function to evaluate the integrals involved in the solution of the problem. The uniqueness result for the given problem is obtained by the Banach contraction mapping principle, while the existence results are established with the aid of Krasnosel’skiĭ’s fixed point theorem and Leray–Schauder nonlinear alternative under different assumptions. We also discuss the Ulam–Hyers stability for the problem at hand. Numerical examples are constructed for the illustration of the abstract results.
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