Existence of Solutions for a Coupled System of Ψ-Caputo Fractional Differential Equations With Integral Boundary Conditions

被引：1
作者：
Poovarasan, R. [1 ]
Govindaraj, V. [1 ]
机构：
[1] Natl Inst Technol Puducherry, Dept Math, Karaikal, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年
关键词：
coupled system; fractional boundary value problem; integral boundary condition; psi-Caputo derivative; RESPECT;
D O I：
10.1002/mma.10810
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we examine a system of fractional differential equations involving nonlinear terms that depend on unknown functions and their fractional derivatives. We propose coupled nonlocal boundary conditions with integral constraints, introducing a novel problem within fractional calculus and nonlinear dynamics. Our main contributions include proving the existence of solutions obtained via Leray-Schauder's alternative and establishing uniqueness via the contraction mapping principle. These findings are further supported by examples that showcase the system's mathematical properties and behavior.
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页数：13
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