Stability analysis for boundary value problems with generalized nonlocal condition via Hilfer–Katugampola fractional derivative

被引：0
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作者：
Idris Ahmed
Poom Kumam
Fahd Jarad
Piyachat Borisut
Kanokwan Sitthithakerngkiet
Alhassan Ibrahim
机构：
[1] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science
[2] King Mongkut’s University of Technology Thonburi (KMUTT),Center of Excellence in Theoretical and Computational Science (TaCS
[3] Sule Lamido University,CoE), Science Laboratory Building
[4] China Medical University,Department of Mathematics and Computer Science
[5] Cankaya University,Department of Medical Research, China Medical University Hospital
[6] King Mongkut’s University of Technology North Bangkok (KMUTNB),Department of Mathematics, Faculty of Arts and Sciences
[7] Bayero University Kano,Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science
来源：
Advances in Difference Equations | / 2020卷
关键词：
Hilfer fractional derivative; Stability; Volterra integral equation; Nonlocal integral condition; 26A33; 34A34; 34B15;
D O I：
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中图分类号：
学科分类号：
摘要：
In this research, we present the stability analysis of a fractional differential equation of a generalized Liouville–Caputo-type (Katugampola) via the Hilfer fractional derivative with a nonlocal integral boundary condition. Besides, we derive the relation between the proposed problem and the Volterra integral equation. Using the concepts of Banach and Krasnoselskii’s fixed point theorems, we investigate the existence and uniqueness of solutions to the proposed problem. Finally, we present two examples to clarify the abstract result.
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