Investigating the existence, uniqueness, and stability of solutions in boundary value problem of fractional differential equations

被引：2

作者：

Poovarasan, R. ^{[1
]}

Gomez-Aguilar, J. F. ^{[2
]}

Govindaraj, V ^{[1
]}

机构：

[1] Natl Inst Technol Puducherry, Dept Math, Karaikal 609609, India

[2] Univ Autonoma Estado Morelos, Ctr Invest Ingn & Ciencias Aplicadas CIICAp IICBA, Av Univ 1001 Col Chamilpa, Cuernavaca 62209, Morelos, Mexico

来源：

PHYSICA SCRIPTA | 2024年 / 99卷 / 05期

关键词：

fractional boundary value problem; Psi-Caputo derivative; Ulam-Hyers-Rassias stability; CAPUTO;

D O I：

10.1088/1402-4896/ad3d97

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This study uses fixed point theory and the Banach contraction principle to prove the existence, uniqueness, and stability of solutions to boundary value problems involving a Psi-Caputo-type fractional differential equation. The conclusions are supported by illustrative cases, which raise the theoretical framework's legitimacy. Fractional calculus is widely used in scientific fields, as seen by its applications in beam deflection analysis, groundwater pollution, and biomedical signal processing.

引用

页数：17

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