Existence and Uniqueness of Solution for Quantum Fractional Pantograph Equations

被引:0
|
作者
Saeed Kosari
Zehui Shao
Milad Yadollahzadeh
Yongsheng Rao
机构
[1] Guangzhou University,Institute of Computing Science and Technology
[2] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences
关键词
-fractional derivative; -fractional pantograph equation; Existence of solution; 34A12; 39A13;
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学科分类号
摘要
In this paper, the fractional pantograph equations in quantum calculus are studied. We propose a q-fractional variant of the nonlinear pantograph equation with a given initial condition and a nonlinear neutral q-fractional pantograph equation. Based on the fixed-point theory, the main theorems provide some new results regarding the existence and uniqueness of solutions for q-fractional pantograph equations.
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页码:1383 / 1388
页数:5
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