NONLINEAR IMPULSIVE (ρk, ψk)-HILFER FRACTIONAL PANTOGRAPH INTEGRO-DIFFERENTIAL EQUATIONS UNDER NONLOCAL INTEGRAL BOUNDARY CONDITIONS

被引：0

作者：

Kaewsuwan, Marisa ^{[1
]}

Thaiprayoon, Chatthai ^{[2
]}

Aphithana, Aphirak ^{[1
]}

Kongson, Jutarat ^{[2
]}

Sae-dan, Weerapan ^{[3
]}

Sudsutad, Weerawat ^{[1
]}

机构：

[1] Ramkhamhang Univ, Fac Sci, Dept Stat, Theoret & Appl Data Integrat Innovat Grp, Bangkok 10240, Thailand

[2] Burapha Univ, Fac Sci, Dept Math, Res Grp Theoret & Computat Appl Sci, Chon Buri 20131, Thailand

[3] Ramkhamhang Univ, Fac Engn, Dept Comp Engn, Bangkok 10240, Thailand

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2024年 / 2024卷

关键词：

(k; psi)-Hilfer fractional derivative; Impulsive conditions; Nonlocal integral boundary condi- tions; Ulam's stability; STABILITY; EXISTENCE; RESPECT;

D O I：

10.23952/jnfa.2024.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and uniqueness of solutions for a class of nonlinear impulsive fractional pantograph integro-differential equations with multi -point integral boundary conditions in the context of the (rho(k), psi(k))-Hilfer fractional operator. We transform our problem into an equivalent integral equation, and the uniqueness result is proved by applying Banach's fixed-point theorem. In addition, some types of Ulam's stability results are demonstrated and numerical examples are designed to illustrate the applicability of our theoretical results.

引用

页数：29

共 34 条

[1] On the initial value problems for the Caputo-Fabrizio impulsive fractional differential equations [J].