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 

机构地区：[1]Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group,Department of Mathematics,Faculty of Science,King Abdulaziz University,P.O.Box 80203,Jeddah 21589,Saudi Arabia [2]Department of Mathematics,Texas A&M University,Kingsville,Texas 78363-8202,USA

出　　处：《Acta Mathematica Scientia》2021年第4期1366-1384,共19页数学物理学报（B辑英文版）

基　　金：This project was funded by the Deanship of Scientific Research(DSR),King Abdulaziz University,Jeddah,Saudi Arabia(KEP-MSc-63-130-42).

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,supplemented with nonlocal coupled fractional integral boundary conditions.An example is also constructed for the illustration of the obtained results.

关 键 词：Fractional differential equations Caputo and Riemann-Liouville fractional derivatives systems EXISTENCE fixed point theorems 

分 类 号：O175.6[理学—数学]