THE EXISTENCE AND HYERS-ULAM STABILITY OF SOLUTION FOR AN IMPULSIVE TYPES AMBARTSUMIAN EQUATION VIA Ξ-HILFER GENERALIZED PROPORTIONAL FRACTIONAL DERIVATIVE

被引：0
作者：
Manikandan, S. [1 ]
Vivek, D. [2 ]
Kanagarajan, K. [1 ]
Elsayed, E. M. [3 ,4 ]
机构：
[1] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, India
[2] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, India
[3] King AbdulAziz Univ, Fac Sci, Math Dept, POB 80203, Jeddah 21589, Saudi Arabia
[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2024年 / 91卷
关键词：
Ambartsumian equation; impulsive; proportional fractional derivative; existence; uniqueness; Ulam-Hyers-Rassias stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate some existence and Ulam's type stability concepts of fixed point for a class of Ambartsumian equations with impulses via Xi-Hilfer generalized proportional fractional derivative (PFD). Our results are obtained by using standard fixed point theorems.
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页码：105 / 120
页数：16
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