ON A COUPLED INTEGRO-DIFFERENTIAL SYSTEM INVOLVING MIXED FRACTIONAL DERIVATIVES AND INTEGRALS OF DIFFERENT ORDERS

• 作者: Bashir AHMAD Ravi P.AGARWAL Abrar BROOM Ahmed ALSAEDI
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 1366-1384
• 页数: 19页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.04.020

摘要

By applying the standard fixed point theorems,we prove the existence and uniqueness results for a system of coupled differential equations involving both left Caputo and right Riemann-Liouville fractional derivatives and mixed fractional integrals,supple-mented with nonlocal coupled fractional integral boundary conditions.An example is also constructed for the illustration of the obtained results.