ON A CLASS OF NON-LOCAL BOUNDARY VALUE PROBLEM FOR A ψ-HILFER NON-LINEAR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION

被引：0

作者：

Maheswari, M. Latha ^{[1
]}

Shri, K. S. Keerthana ^{[1
]}

机构：

[1] PSG Coll Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India

来源：

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2023年 / 92卷 / 02期

关键词：

& psi; -Hilfer fractional derivative; existence and uniqueness; stability; non-local boundary value problem; DIFFERENTIAL-EQUATIONS; EXISTENCE; STABILITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the existence, uniqueness, and stability of the solution of ?-Hilfer non-linear fractional integro-differential equation with mixed boundary conditions are investigated. The existence and uniqueness are shown by Krasnosel'skii's fixed point theorem and Banach contraction principle under a special working space. Furthermore, the Ulam-Hyers-Rassias stability and Semi Ulam-Hyers-Rassias stability of the solution are analysed. An example is given to illustrate the main results.

引用

页码：125 / 143

页数：19

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