Sequential Hilfer-Hadamard Fractional Three-Point Boundary Value Problems

Authors

  • Ugyen Samdrup Tshering
  • Ekkarath Thailert Naresuan University
  • Sotiris K. Ntouyas
  • Piyanuch Siriwat

Keywords:

fractional differential equations, Hilfer fractional derivative, Riemann-Liouville fractional derivative, Caputo fractional derivative, boundary value problems, existence and uniqueness, fixed point theory

Abstract

In this paper, we study existence and uniqueness of solutions for three-point boundary value problem for Hilfer-Hadamard sequential fractional differential equations, via standard fixed point theorems. The existence is proved by Schaefer and Krasnoselskii fixed point theorems as well and Leray-Schauder nonlinear alternative, while the existence and uniqueness by Banach contraction mapping principle. Illustrative examples are also discussed.

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Published

2023-09-30

How to Cite

Tshering, U., Thailert, E., Ntouyas, S., & Siriwat, P. (2023). Sequential Hilfer-Hadamard Fractional Three-Point Boundary Value Problems. Thai Journal of Mathematics, 21(3), 609–624. Retrieved from https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1530

Issue

Vol. 21 No. 3 (2023): September

Section

Articles