On four-point fractional q-integrodifference boundary value problems involving separate nonlinearity and arbitrary fractional order

Boundary Value Problems

Nichaphat Patanarapeelert¹  Thanin Sitthiwirattham² 

[1] Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok;Mathematics Department, Faculty of Science and Technology, Suan Dusit University;

关键词: Existence;    q-derivative;    q-integral;    q-integrodifference equation;   

DOI  :  10.1186/s13661-018-0962-6

来源: DOAJ

【 摘 要 】

Abstract In this paper, we study a sequential Caputo fractional q-integrodifference equation with fractional q-integral and Riemann–Liouville fractional q-derivative boundary value conditions. Our problem contains 2(M+N+1) $2(M+N+1)$ different orders and six different numbers of q in derivatives and integrals. The problem contains separate nonlinear functions. To examine existence and uniqueness results of the problem, Banach’s contraction principle and the Leray–Schauder nonlinear alternative are employed. An illustrative example is also provided.

【 授权许可】

Unknown