On nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equations

• Main Authors: Nichaphat Patanarapeelert, Tanapat Brikshavana, Thanin Sitthiwirattham
• Format: Article
• Language: English
• Published: SpringerOpen 2018-01-01
• Series: Boundary Value Problems
• Subjects: fractional Hahn integrodifference equations; boundary value problems; existence; fixed point theorem
• Online Access: http://link.springer.com/article/10.1186/s13661-017-0923-5
• ISSN: 1687-2770

Abstract The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different numbers of order. We use the Banach fixed point theorem to prove the existence and uniqueness of the solution. In particular, the existence of at least one solution is presented by using the Schauder fixed point theorem.