Nonlocal boundary value problems for Hilfer-type pantograph fractional differential equations and inclusions

Advances in Difference Equations

article

Wongcharoen, Athasit¹  Ntouyas, Sotiris K.²  Tariboon, Jessada⁴ 

[1] Department of Mechanical Engineering Technology, College of Industrial Engineering Technology, King Mongkut’s University of Technology North Bangkok;Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University;Department of Mathematics, University of Ioannina;Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok

关键词: Hilfer fractional derivative;    Pantograph fractional differential equations;    Riemann–Liouville fractional derivative;    Caputo fractional derivative;    Boundary value problems;    Existence and uniqueness;    Fixed point theory;   

DOI  :  10.1186/s13662-020-02747-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study boundary value problems, involving the Hilfer fractional derivative, for pantograph fractional differential equations and inclusions supplemented by nonlocal integral boundary conditions. Existence and uniqueness results are obtained by using well-known fixed point theorems for single and multi-valued functions. Examples illustrating our results are also presented.

【 授权许可】

CC BY