Nonlocal boundary value problems for ψ-Hilfer fractional-order Langevin equations

被引:0
作者
Cholticha Nuchpong
Sotiris K. Ntouyas
Devaraj Vivek
Jessada Tariboon
机构
[1] King Mongkut’s University of Technology North Bangkok,Thai
[2] University of Ioannina,German Pre
[3] King Abdulaziz University,engineering School, College of Industrial Technology
[4] PSG College of Arts & Science,Department of Mathematics
[5] King Mongkut’s University of Technology North Bangkok,Nonlinear Analysis and Applied Mathematics (NAAM)
来源
Boundary Value Problems | / 2021卷
关键词
Boundary value problems; Langevin equations; -Hilfer fractional derivative; Existence; Fixed point; 26A33; 34A08; 34B10;
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摘要
In the paper, we study a boundary value problem for a class of ψ-Hilfer fractional-order Langevin equations with multi-point integral boundary conditions. Existence and uniqueness results are established by using well-known fixed point theorems. Examples illustrating the main results are also included.
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共 72 条
[1]  
Feckan M.(2019)Periodic impulsive fractional differential equations Adv. Nonlinear Anal. 8 482-496
[2]  
Wang J.R.(2018)On the Commun. Nonlinear Sci. Numer. Simul. 60 72-91
[3]  
da Vanterler J.(2018)-Hilfer fractional derivative Results Math. 73 1-16
[4]  
Sousa C.(2020)Ulam–Hyers–Rassias stability for a class of fractional integro-differential equations Fract. Calc. Appl. Anal. 23 1188-1207
[5]  
Capelas de Oliveira E.(2020)Attractivity for differential equations of fractional order and Appl. Anal. 12 73-80
[6]  
Capelas de Oliveira E.(2021)-Hilfer type Ann. Funct. Anal. 88 1-21
[7]  
da Vanterler J.(2021)Controllability of coupled systems for impulsive Afr. Math. 20 1639-1657
[8]  
Sousa C.(2019)-Hilfer fractional integro-differential inclusions Appl. Math. Lett. 55 1-8
[9]  
da Vanterler J.(2018)Existence of mild solutions to Hilfer fractional evolution equations in Banach space J. Fixed Point Theory Appl. 2015 182-189
[10]  
Sousa C.(2018)Ulam stability for nonlocal differential equations involving the Hilfer–Katugampola fractional derivative Bull. Korean Math. Soc. 2019 530-533