q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions

被引：4
|
作者：
Wang, Wuyang [1 ]
Khalid, Khansa Hina [2 ]
Zada, Akbar [2 ]
Ben Moussa, Sana [3 ]
Ye, Jun [4 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Bell Honors Sch, Nanjing 210023, Peoples R China
[2] Univ Peshawar, Dept Math, Peshawar 25120, Pakistan
[3] King Khalid Univ, Fac Sci & Arts, Abha 61421, Saudi Arabia
[4] Nanjing Univ Posts & Telecommun, Coll Sci, Nanjing 210023, Peoples R China
来源：
MATHEMATICS | 2023年 / 11卷 / 09期
关键词：
Langevin equations; fractional q-differential equation; Caputo derivative; green function; Ulam stability; STABILITY ANALYSIS; EXISTENCE;
D O I：
10.3390/math11092132
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The major goal of this manuscript is to investigate the existence, uniqueness, and stability of a q-fractional Langevin differential equation with q-fractional integral conditions. We demonstrate the existence and uniqueness of the solution to the proposed q-fractional Langevin differential equation using the Banach contraction principle and Schaefer's fixed-point theorem. We also elaborate on different kinds of Ulam stability. The theoretical outcomes are verified by examples.
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页数：27
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