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

Boundary value problems

Devaraj Vivek¹  Sotiris K. Ntouyas²  Jessada Tariboon³  Cholticha Nuchpong⁴ 

[1] Department of Mathematics, PSG College of Arts & Science, 641014, Coimbatore, India;Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, 21589, Jeddah, Saudi Arabia;Intelligent and Nonlinear Dynamic Innovations, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, 10800, Bangkok, Thailand;Thai-German Pre-engineering School, College of Industrial Technology, King Mongkut’s University of Technology North Bangkok, 10800, Bangkok, Thailand;

关键词: Boundary value problems;    Langevin equations;    ψ;    Existence;    Fixed point;    26A33;    34A08;    34B10;   

DOI  :  10.1186/s13661-021-01511-y

来源: Springer

【 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.

【 授权许可】

CC BY